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