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Simplifying 3(w + -7) + -3 = -5(-4w + 6) + -5w Reorder the terms: 3(-7 + w) + -3 = -5(-4w + 6) + -5w (-7 * 3 + w * 3) + -3 = -5(-4w + 6) + -5w (-21 + 3w) + -3 = -5(-4w + 6) + -5w Reorder the terms: -21 + -3 + 3w = -5(-4w + 6) + -5w Combine like terms: -21 + -3 = -24 -24 + 3w = -5(-4w + 6) + -5w Reorder the terms: -24 + 3w = -5(6 + -4w) + -5w -24 + 3w = (6 * -5 + -4w * -5) + -5w -24 + 3w = (-30 + 20w) + -5w Combine like terms: 20w + -5w = 15w -24 + 3w = -30 + 15w Solving -24 + 3w = -30 + 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. -24 + 3w + -15w = -30 + 15w + -15w Combine like terms: 3w + -15w = -12w -24 + -12w = -30 + 15w + -15w Combine like terms: 15w + -15w = 0 -24 + -12w = -30 + 0 -24 + -12w = -30 Add '24' to each side of the equation. -24 + 24 + -12w = -30 + 24 Combine like terms: -24 + 24 = 0 0 + -12w = -30 + 24 -12w = -30 + 24 Combine like terms: -30 + 24 = -6 -12w = -6 Divide each side by '-12'. w = 0.5 Simplifying w = 0.5
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