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Simplifying 3(w + -9) + -5 = -4(-4w + 6) + -1w Reorder the terms: 3(-9 + w) + -5 = -4(-4w + 6) + -1w (-9 * 3 + w * 3) + -5 = -4(-4w + 6) + -1w (-27 + 3w) + -5 = -4(-4w + 6) + -1w Reorder the terms: -27 + -5 + 3w = -4(-4w + 6) + -1w Combine like terms: -27 + -5 = -32 -32 + 3w = -4(-4w + 6) + -1w Reorder the terms: -32 + 3w = -4(6 + -4w) + -1w -32 + 3w = (6 * -4 + -4w * -4) + -1w -32 + 3w = (-24 + 16w) + -1w Combine like terms: 16w + -1w = 15w -32 + 3w = -24 + 15w Solving -32 + 3w = -24 + 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. -32 + 3w + -15w = -24 + 15w + -15w Combine like terms: 3w + -15w = -12w -32 + -12w = -24 + 15w + -15w Combine like terms: 15w + -15w = 0 -32 + -12w = -24 + 0 -32 + -12w = -24 Add '32' to each side of the equation. -32 + 32 + -12w = -24 + 32 Combine like terms: -32 + 32 = 0 0 + -12w = -24 + 32 -12w = -24 + 32 Combine like terms: -24 + 32 = 8 -12w = 8 Divide each side by '-12'. w = -0.6666666667 Simplifying w = -0.6666666667
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