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Simplifying 3(w + -3) + -7 = -4(-4w + 3) + -1w Reorder the terms: 3(-3 + w) + -7 = -4(-4w + 3) + -1w (-3 * 3 + w * 3) + -7 = -4(-4w + 3) + -1w (-9 + 3w) + -7 = -4(-4w + 3) + -1w Reorder the terms: -9 + -7 + 3w = -4(-4w + 3) + -1w Combine like terms: -9 + -7 = -16 -16 + 3w = -4(-4w + 3) + -1w Reorder the terms: -16 + 3w = -4(3 + -4w) + -1w -16 + 3w = (3 * -4 + -4w * -4) + -1w -16 + 3w = (-12 + 16w) + -1w Combine like terms: 16w + -1w = 15w -16 + 3w = -12 + 15w Solving -16 + 3w = -12 + 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. -16 + 3w + -15w = -12 + 15w + -15w Combine like terms: 3w + -15w = -12w -16 + -12w = -12 + 15w + -15w Combine like terms: 15w + -15w = 0 -16 + -12w = -12 + 0 -16 + -12w = -12 Add '16' to each side of the equation. -16 + 16 + -12w = -12 + 16 Combine like terms: -16 + 16 = 0 0 + -12w = -12 + 16 -12w = -12 + 16 Combine like terms: -12 + 16 = 4 -12w = 4 Divide each side by '-12'. w = -0.3333333333 Simplifying w = -0.3333333333
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