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Simplifying -4w + -17 = 3(w + -8) Reorder the terms: -17 + -4w = 3(w + -8) Reorder the terms: -17 + -4w = 3(-8 + w) -17 + -4w = (-8 * 3 + w * 3) -17 + -4w = (-24 + 3w) Solving -17 + -4w = -24 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -17 + -4w + -3w = -24 + 3w + -3w Combine like terms: -4w + -3w = -7w -17 + -7w = -24 + 3w + -3w Combine like terms: 3w + -3w = 0 -17 + -7w = -24 + 0 -17 + -7w = -24 Add '17' to each side of the equation. -17 + 17 + -7w = -24 + 17 Combine like terms: -17 + 17 = 0 0 + -7w = -24 + 17 -7w = -24 + 17 Combine like terms: -24 + 17 = -7 -7w = -7 Divide each side by '-7'. w = 1 Simplifying w = 1
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