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Simplifying 3 + 5(15 + -1w) = 7(w + -2) + -4 3 + (15 * 5 + -1w * 5) = 7(w + -2) + -4 3 + (75 + -5w) = 7(w + -2) + -4 Combine like terms: 3 + 75 = 78 78 + -5w = 7(w + -2) + -4 Reorder the terms: 78 + -5w = 7(-2 + w) + -4 78 + -5w = (-2 * 7 + w * 7) + -4 78 + -5w = (-14 + 7w) + -4 Reorder the terms: 78 + -5w = -14 + -4 + 7w Combine like terms: -14 + -4 = -18 78 + -5w = -18 + 7w Solving 78 + -5w = -18 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 78 + -5w + -7w = -18 + 7w + -7w Combine like terms: -5w + -7w = -12w 78 + -12w = -18 + 7w + -7w Combine like terms: 7w + -7w = 0 78 + -12w = -18 + 0 78 + -12w = -18 Add '-78' to each side of the equation. 78 + -78 + -12w = -18 + -78 Combine like terms: 78 + -78 = 0 0 + -12w = -18 + -78 -12w = -18 + -78 Combine like terms: -18 + -78 = -96 -12w = -96 Divide each side by '-12'. w = 8 Simplifying w = 8
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