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Simplifying -15 = 6(w + -7) + -3w Reorder the terms: -15 = 6(-7 + w) + -3w -15 = (-7 * 6 + w * 6) + -3w -15 = (-42 + 6w) + -3w Combine like terms: 6w + -3w = 3w -15 = -42 + 3w Solving -15 = -42 + 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. -15 + -3w = -42 + 3w + -3w Combine like terms: 3w + -3w = 0 -15 + -3w = -42 + 0 -15 + -3w = -42 Add '15' to each side of the equation. -15 + 15 + -3w = -42 + 15 Combine like terms: -15 + 15 = 0 0 + -3w = -42 + 15 -3w = -42 + 15 Combine like terms: -42 + 15 = -27 -3w = -27 Divide each side by '-3'. w = 9 Simplifying w = 9
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