Question

how many solutions does this equation have? -14w + 15 + 18w = 3 + 3w no solution one solution infinitely many solutions

Explanation:

Step1: Combine like terms on left

$-14w + 18w + 15 = 4w + 15$

Step2: Rewrite equation

$4w + 15 = 3 + 3w$

Step3: Subtract \(3w\) from both sides

$4w - 3w + 15 = 3 + 3w - 3w$
$w + 15 = 3$

Step4: Subtract 15 from both sides

$w + 15 - 15 = 3 - 15$
$w = -12$

Since we found a unique value for \(w\), the equation has one solution.

Answer:

one solution