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Simplifying 6w + -12 = -9(w + -7) Reorder the terms: -12 + 6w = -9(w + -7) Reorder the terms: -12 + 6w = -9(-7 + w) -12 + 6w = (-7 * -9 + w * -9) -12 + 6w = (63 + -9w) Solving -12 + 6w = 63 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -12 + 6w + 9w = 63 + -9w + 9w Combine like terms: 6w + 9w = 15w -12 + 15w = 63 + -9w + 9w Combine like terms: -9w + 9w = 0 -12 + 15w = 63 + 0 -12 + 15w = 63 Add '12' to each side of the equation. -12 + 12 + 15w = 63 + 12 Combine like terms: -12 + 12 = 0 0 + 15w = 63 + 12 15w = 63 + 12 Combine like terms: 63 + 12 = 75 15w = 75 Divide each side by '15'. w = 5 Simplifying w = 5
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