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