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Simplifying 6(w + -8) = 5(w + -1) Reorder the terms: 6(-8 + w) = 5(w + -1) (-8 * 6 + w * 6) = 5(w + -1) (-48 + 6w) = 5(w + -1) Reorder the terms: -48 + 6w = 5(-1 + w) -48 + 6w = (-1 * 5 + w * 5) -48 + 6w = (-5 + 5w) Solving -48 + 6w = -5 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -48 + 6w + -5w = -5 + 5w + -5w Combine like terms: 6w + -5w = 1w -48 + 1w = -5 + 5w + -5w Combine like terms: 5w + -5w = 0 -48 + 1w = -5 + 0 -48 + 1w = -5 Add '48' to each side of the equation. -48 + 48 + 1w = -5 + 48 Combine like terms: -48 + 48 = 0 0 + 1w = -5 + 48 1w = -5 + 48 Combine like terms: -5 + 48 = 43 1w = 43 Divide each side by '1'. w = 43 Simplifying w = 43
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