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Simplifying 3(w + -4) + -9 = -5(-3w + 3) + -3w Reorder the terms: 3(-4 + w) + -9 = -5(-3w + 3) + -3w (-4 * 3 + w * 3) + -9 = -5(-3w + 3) + -3w (-12 + 3w) + -9 = -5(-3w + 3) + -3w Reorder the terms: -12 + -9 + 3w = -5(-3w + 3) + -3w Combine like terms: -12 + -9 = -21 -21 + 3w = -5(-3w + 3) + -3w Reorder the terms: -21 + 3w = -5(3 + -3w) + -3w -21 + 3w = (3 * -5 + -3w * -5) + -3w -21 + 3w = (-15 + 15w) + -3w Combine like terms: 15w + -3w = 12w -21 + 3w = -15 + 12w Solving -21 + 3w = -15 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -21 + 3w + -12w = -15 + 12w + -12w Combine like terms: 3w + -12w = -9w -21 + -9w = -15 + 12w + -12w Combine like terms: 12w + -12w = 0 -21 + -9w = -15 + 0 -21 + -9w = -15 Add '21' to each side of the equation. -21 + 21 + -9w = -15 + 21 Combine like terms: -21 + 21 = 0 0 + -9w = -15 + 21 -9w = -15 + 21 Combine like terms: -15 + 21 = 6 -9w = 6 Divide each side by '-9'. w = -0.6666666667 Simplifying w = -0.6666666667
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