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solving one-step equation worksheet add or subtract 1 10+c=20 2 6+b=10 …

Question

solving one-step equation worksheet add or subtract 1 10+c=20 2 6+b=10 3 m-7=-10 4 a+11=22 5 x-50=20 6 15+k=25 7 r-18=30 8 f-18=34 9 y-17=55

Explanation:

Response
Problem 1: \( 10 + c = 20 \)

Step 1: Subtract 10 from both sides

To isolate \( c \), we subtract 10 from both sides of the equation.
\( 10 + c - 10 = 20 - 10 \)

Step 2: Simplify both sides

Simplifying the left side ( \( 10 - 10 = 0 \) ) and the right side ( \( 20 - 10 = 10 \) ) gives:
\( c = 10 \)

Step 1: Subtract 6 from both sides

To isolate \( b \), subtract 6 from both sides.
\( 6 + b - 6 = 10 - 6 \)

Step 2: Simplify both sides

Left side: \( 6 - 6 = 0 \), right side: \( 10 - 6 = 4 \). So,
\( b = 4 \)

Step 1: Add 7 to both sides

To isolate \( m \), add 7 to both sides.
\( m - 7 + 7 = -10 + 7 \)

Step 2: Simplify both sides

Left side: \( -7 + 7 = 0 \), right side: \( -10 + 7 = -3 \). Thus,
\( m = -3 \)

Answer:

\( c = 10 \)

Problem 2: \( 6 + b = 10 \)