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Simplifying 3w + 15 = -4(w + -2) Reorder the terms: 15 + 3w = -4(w + -2) Reorder the terms: 15 + 3w = -4(-2 + w) 15 + 3w = (-2 * -4 + w * -4) 15 + 3w = (8 + -4w) Solving 15 + 3w = 8 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 15 + 3w + 4w = 8 + -4w + 4w Combine like terms: 3w + 4w = 7w 15 + 7w = 8 + -4w + 4w Combine like terms: -4w + 4w = 0 15 + 7w = 8 + 0 15 + 7w = 8 Add '-15' to each side of the equation. 15 + -15 + 7w = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 7w = 8 + -15 7w = 8 + -15 Combine like terms: 8 + -15 = -7 7w = -7 Divide each side by '7'. w = -1 Simplifying w = -1
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