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Simplifying 8(w + -4) = -9w + -49 Reorder the terms: 8(-4 + w) = -9w + -49 (-4 * 8 + w * 8) = -9w + -49 (-32 + 8w) = -9w + -49 Reorder the terms: -32 + 8w = -49 + -9w Solving -32 + 8w = -49 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -32 + 8w + 9w = -49 + -9w + 9w Combine like terms: 8w + 9w = 17w -32 + 17w = -49 + -9w + 9w Combine like terms: -9w + 9w = 0 -32 + 17w = -49 + 0 -32 + 17w = -49 Add '32' to each side of the equation. -32 + 32 + 17w = -49 + 32 Combine like terms: -32 + 32 = 0 0 + 17w = -49 + 32 17w = -49 + 32 Combine like terms: -49 + 32 = -17 17w = -17 Divide each side by '17'. w = -1 Simplifying w = -1
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