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Simplifying -8(w + 1) = -5(w + 10) Reorder the terms: -8(1 + w) = -5(w + 10) (1 * -8 + w * -8) = -5(w + 10) (-8 + -8w) = -5(w + 10) Reorder the terms: -8 + -8w = -5(10 + w) -8 + -8w = (10 * -5 + w * -5) -8 + -8w = (-50 + -5w) Solving -8 + -8w = -50 + -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. -8 + -8w + 5w = -50 + -5w + 5w Combine like terms: -8w + 5w = -3w -8 + -3w = -50 + -5w + 5w Combine like terms: -5w + 5w = 0 -8 + -3w = -50 + 0 -8 + -3w = -50 Add '8' to each side of the equation. -8 + 8 + -3w = -50 + 8 Combine like terms: -8 + 8 = 0 0 + -3w = -50 + 8 -3w = -50 + 8 Combine like terms: -50 + 8 = -42 -3w = -42 Divide each side by '-3'. w = 14 Simplifying w = 14
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