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Simplifying 6w + -15 = -3(w + -7) Reorder the terms: -15 + 6w = -3(w + -7) Reorder the terms: -15 + 6w = -3(-7 + w) -15 + 6w = (-7 * -3 + w * -3) -15 + 6w = (21 + -3w) Solving -15 + 6w = 21 + -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 + 6w + 3w = 21 + -3w + 3w Combine like terms: 6w + 3w = 9w -15 + 9w = 21 + -3w + 3w Combine like terms: -3w + 3w = 0 -15 + 9w = 21 + 0 -15 + 9w = 21 Add '15' to each side of the equation. -15 + 15 + 9w = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 9w = 21 + 15 9w = 21 + 15 Combine like terms: 21 + 15 = 36 9w = 36 Divide each side by '9'. w = 4 Simplifying w = 4
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