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Simplifying -4(-6w + 1) + -9w = 3(w + -3) + -4 Reorder the terms: -4(1 + -6w) + -9w = 3(w + -3) + -4 (1 * -4 + -6w * -4) + -9w = 3(w + -3) + -4 (-4 + 24w) + -9w = 3(w + -3) + -4 Combine like terms: 24w + -9w = 15w -4 + 15w = 3(w + -3) + -4 Reorder the terms: -4 + 15w = 3(-3 + w) + -4 -4 + 15w = (-3 * 3 + w * 3) + -4 -4 + 15w = (-9 + 3w) + -4 Reorder the terms: -4 + 15w = -9 + -4 + 3w Combine like terms: -9 + -4 = -13 -4 + 15w = -13 + 3w Solving -4 + 15w = -13 + 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. -4 + 15w + -3w = -13 + 3w + -3w Combine like terms: 15w + -3w = 12w -4 + 12w = -13 + 3w + -3w Combine like terms: 3w + -3w = 0 -4 + 12w = -13 + 0 -4 + 12w = -13 Add '4' to each side of the equation. -4 + 4 + 12w = -13 + 4 Combine like terms: -4 + 4 = 0 0 + 12w = -13 + 4 12w = -13 + 4 Combine like terms: -13 + 4 = -9 12w = -9 Divide each side by '12'. w = -0.75 Simplifying w = -0.75
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