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Simplifying -7(-3w + 3) + -4w = 5(w + -2) + -5 Reorder the terms: -7(3 + -3w) + -4w = 5(w + -2) + -5 (3 * -7 + -3w * -7) + -4w = 5(w + -2) + -5 (-21 + 21w) + -4w = 5(w + -2) + -5 Combine like terms: 21w + -4w = 17w -21 + 17w = 5(w + -2) + -5 Reorder the terms: -21 + 17w = 5(-2 + w) + -5 -21 + 17w = (-2 * 5 + w * 5) + -5 -21 + 17w = (-10 + 5w) + -5 Reorder the terms: -21 + 17w = -10 + -5 + 5w Combine like terms: -10 + -5 = -15 -21 + 17w = -15 + 5w Solving -21 + 17w = -15 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -21 + 17w + -5w = -15 + 5w + -5w Combine like terms: 17w + -5w = 12w -21 + 12w = -15 + 5w + -5w Combine like terms: 5w + -5w = 0 -21 + 12w = -15 + 0 -21 + 12w = -15 Add '21' to each side of the equation. -21 + 21 + 12w = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 12w = -15 + 21 12w = -15 + 21 Combine like terms: -15 + 21 = 6 12w = 6 Divide each side by '12'. w = 0.5 Simplifying w = 0.5
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