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Simplifying 3(w + -9) + -7 = -4(-6w + 7) + -9w Reorder the terms: 3(-9 + w) + -7 = -4(-6w + 7) + -9w (-9 * 3 + w * 3) + -7 = -4(-6w + 7) + -9w (-27 + 3w) + -7 = -4(-6w + 7) + -9w Reorder the terms: -27 + -7 + 3w = -4(-6w + 7) + -9w Combine like terms: -27 + -7 = -34 -34 + 3w = -4(-6w + 7) + -9w Reorder the terms: -34 + 3w = -4(7 + -6w) + -9w -34 + 3w = (7 * -4 + -6w * -4) + -9w -34 + 3w = (-28 + 24w) + -9w Combine like terms: 24w + -9w = 15w -34 + 3w = -28 + 15w Solving -34 + 3w = -28 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -34 + 3w + -15w = -28 + 15w + -15w Combine like terms: 3w + -15w = -12w -34 + -12w = -28 + 15w + -15w Combine like terms: 15w + -15w = 0 -34 + -12w = -28 + 0 -34 + -12w = -28 Add '34' to each side of the equation. -34 + 34 + -12w = -28 + 34 Combine like terms: -34 + 34 = 0 0 + -12w = -28 + 34 -12w = -28 + 34 Combine like terms: -28 + 34 = 6 -12w = 6 Divide each side by '-12'. w = -0.5 Simplifying w = -0.5
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