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Simplifying 2(w + -7) + 2 = -3(w + -1) Reorder the terms: 2(-7 + w) + 2 = -3(w + -1) (-7 * 2 + w * 2) + 2 = -3(w + -1) (-14 + 2w) + 2 = -3(w + -1) Reorder the terms: -14 + 2 + 2w = -3(w + -1) Combine like terms: -14 + 2 = -12 -12 + 2w = -3(w + -1) Reorder the terms: -12 + 2w = -3(-1 + w) -12 + 2w = (-1 * -3 + w * -3) -12 + 2w = (3 + -3w) Solving -12 + 2w = 3 + -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. -12 + 2w + 3w = 3 + -3w + 3w Combine like terms: 2w + 3w = 5w -12 + 5w = 3 + -3w + 3w Combine like terms: -3w + 3w = 0 -12 + 5w = 3 + 0 -12 + 5w = 3 Add '12' to each side of the equation. -12 + 12 + 5w = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 5w = 3 + 12 5w = 3 + 12 Combine like terms: 3 + 12 = 15 5w = 15 Divide each side by '5'. w = 3 Simplifying w = 3
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