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Simplifying 8(w + -3) = 7w + -3 Reorder the terms: 8(-3 + w) = 7w + -3 (-3 * 8 + w * 8) = 7w + -3 (-24 + 8w) = 7w + -3 Reorder the terms: -24 + 8w = -3 + 7w Solving -24 + 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. -24 + 8w + -7w = -3 + 7w + -7w Combine like terms: 8w + -7w = 1w -24 + 1w = -3 + 7w + -7w Combine like terms: 7w + -7w = 0 -24 + 1w = -3 + 0 -24 + 1w = -3 Add '24' to each side of the equation. -24 + 24 + 1w = -3 + 24 Combine like terms: -24 + 24 = 0 0 + 1w = -3 + 24 1w = -3 + 24 Combine like terms: -3 + 24 = 21 1w = 21 Divide each side by '1'. w = 21 Simplifying w = 21
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