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Simplifying 5(w + -1) = 3(w + -7) Reorder the terms: 5(-1 + w) = 3(w + -7) (-1 * 5 + w * 5) = 3(w + -7) (-5 + 5w) = 3(w + -7) Reorder the terms: -5 + 5w = 3(-7 + w) -5 + 5w = (-7 * 3 + w * 3) -5 + 5w = (-21 + 3w) Solving -5 + 5w = -21 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -5 + 5w + -3w = -21 + 3w + -3w Combine like terms: 5w + -3w = 2w -5 + 2w = -21 + 3w + -3w Combine like terms: 3w + -3w = 0 -5 + 2w = -21 + 0 -5 + 2w = -21 Add '5' to each side of the equation. -5 + 5 + 2w = -21 + 5 Combine like terms: -5 + 5 = 0 0 + 2w = -21 + 5 2w = -21 + 5 Combine like terms: -21 + 5 = -16 2w = -16 Divide each side by '2'. w = -8 Simplifying w = -8
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