Question

1. solve the problem using proper algebraic steps.

$13t - 7 - 10t = 2$
simplify:
answer:

1. solve the problem using proper algebraic steps.

$5(n + 2) = 25$
simplify:
answer:

Explanation:

Step1: Combine like terms (for problem 14)

$13t - 10t - 7 = 2$
$3t - 7 = 2$

Step2: Isolate variable term (for problem14)

$3t - 7 + 7 = 2 + 7$
$3t = 9$

Step3: Solve for $t$ (for problem14)

$t = \frac{9}{3}$
$t = 3$

Step1: Distribute coefficient (for problem15)

$5n + 5\times2 = 25$
$5n + 10 = 25$

Step2: Isolate variable term (for problem15)

$5n + 10 - 10 = 25 - 10$
$5n = 15$

Step3: Solve for $n$ (for problem15)

$n = \frac{15}{5}$
$n = 3$

Answer:

Problem14 simplified: $3t - 7 = 2$; Answer: $t=3$
Problem15 simplified: $5n + 10 = 25$; Answer: $n=3$