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Simplifying 3w + -3(w + -5) = 8(w + -4) Reorder the terms: 3w + -3(-5 + w) = 8(w + -4) 3w + (-5 * -3 + w * -3) = 8(w + -4) 3w + (15 + -3w) = 8(w + -4) Reorder the terms: 15 + 3w + -3w = 8(w + -4) Combine like terms: 3w + -3w = 0 15 + 0 = 8(w + -4) 15 = 8(w + -4) Reorder the terms: 15 = 8(-4 + w) 15 = (-4 * 8 + w * 8) 15 = (-32 + 8w) Solving 15 = -32 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 15 + -8w = -32 + 8w + -8w Combine like terms: 8w + -8w = 0 15 + -8w = -32 + 0 15 + -8w = -32 Add '-15' to each side of the equation. 15 + -15 + -8w = -32 + -15 Combine like terms: 15 + -15 = 0 0 + -8w = -32 + -15 -8w = -32 + -15 Combine like terms: -32 + -15 = -47 -8w = -47 Divide each side by '-8'. w = 5.875 Simplifying w = 5.875
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