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Simplifying 8(w + -4) = 7w + -3 Reorder the terms: 8(-4 + w) = 7w + -3 (-4 * 8 + w * 8) = 7w + -3 (-32 + 8w) = 7w + -3 Reorder the terms: -32 + 8w = -3 + 7w Solving -32 + 8w = -3 + 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 + 8w + -7w = -3 + 7w + -7w Combine like terms: 8w + -7w = 1w -32 + 1w = -3 + 7w + -7w Combine like terms: 7w + -7w = 0 -32 + 1w = -3 + 0 -32 + 1w = -3 Add '32' to each side of the equation. -32 + 32 + 1w = -3 + 32 Combine like terms: -32 + 32 = 0 0 + 1w = -3 + 32 1w = -3 + 32 Combine like terms: -3 + 32 = 29 1w = 29 Divide each side by '1'. w = 29 Simplifying w = 29
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