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Simplifying -4(3 + -2w) + 5 = 3(w + 4) + 6 (3 * -4 + -2w * -4) + 5 = 3(w + 4) + 6 (-12 + 8w) + 5 = 3(w + 4) + 6 Reorder the terms: -12 + 5 + 8w = 3(w + 4) + 6 Combine like terms: -12 + 5 = -7 -7 + 8w = 3(w + 4) + 6 Reorder the terms: -7 + 8w = 3(4 + w) + 6 -7 + 8w = (4 * 3 + w * 3) + 6 -7 + 8w = (12 + 3w) + 6 Reorder the terms: -7 + 8w = 12 + 6 + 3w Combine like terms: 12 + 6 = 18 -7 + 8w = 18 + 3w Solving -7 + 8w = 18 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -7 + 8w + -3w = 18 + 3w + -3w Combine like terms: 8w + -3w = 5w -7 + 5w = 18 + 3w + -3w Combine like terms: 3w + -3w = 0 -7 + 5w = 18 + 0 -7 + 5w = 18 Add '7' to each side of the equation. -7 + 7 + 5w = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 5w = 18 + 7 5w = 18 + 7 Combine like terms: 18 + 7 = 25 5w = 25 Divide each side by '5'. w = 5 Simplifying w = 5
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