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Simplifying -9(w + -4) + -1(4 + -3w) = -7w Reorder the terms: -9(-4 + w) + -1(4 + -3w) = -7w (-4 * -9 + w * -9) + -1(4 + -3w) = -7w (36 + -9w) + -1(4 + -3w) = -7w 36 + -9w + (4 * -1 + -3w * -1) = -7w 36 + -9w + (-4 + 3w) = -7w Reorder the terms: 36 + -4 + -9w + 3w = -7w Combine like terms: 36 + -4 = 32 32 + -9w + 3w = -7w Combine like terms: -9w + 3w = -6w 32 + -6w = -7w Solving 32 + -6w = -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. 32 + -6w + 7w = -7w + 7w Combine like terms: -6w + 7w = 1w 32 + 1w = -7w + 7w Combine like terms: -7w + 7w = 0 32 + 1w = 0 Add '-32' to each side of the equation. 32 + -32 + 1w = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 1w = 0 + -32 1w = 0 + -32 Combine like terms: 0 + -32 = -32 1w = -32 Divide each side by '1'. w = -32 Simplifying w = -32
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