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Simplifying -56 = (7w + -42) + -1(12w + 4) Reorder the terms: -56 = (-42 + 7w) + -1(12w + 4) Remove parenthesis around (-42 + 7w) -56 = -42 + 7w + -1(12w + 4) Reorder the terms: -56 = -42 + 7w + -1(4 + 12w) -56 = -42 + 7w + (4 * -1 + 12w * -1) -56 = -42 + 7w + (-4 + -12w) Reorder the terms: -56 = -42 + -4 + 7w + -12w Combine like terms: -42 + -4 = -46 -56 = -46 + 7w + -12w Combine like terms: 7w + -12w = -5w -56 = -46 + -5w Solving -56 = -46 + -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. -56 + 5w = -46 + -5w + 5w Combine like terms: -5w + 5w = 0 -56 + 5w = -46 + 0 -56 + 5w = -46 Add '56' to each side of the equation. -56 + 56 + 5w = -46 + 56 Combine like terms: -56 + 56 = 0 0 + 5w = -46 + 56 5w = -46 + 56 Combine like terms: -46 + 56 = 10 5w = 10 Divide each side by '5'. w = 2 Simplifying w = 2
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