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Simplifying -7 = 3(w + -4) + 2w Reorder the terms: -7 = 3(-4 + w) + 2w -7 = (-4 * 3 + w * 3) + 2w -7 = (-12 + 3w) + 2w Combine like terms: 3w + 2w = 5w -7 = -12 + 5w Solving -7 = -12 + 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. -7 + -5w = -12 + 5w + -5w Combine like terms: 5w + -5w = 0 -7 + -5w = -12 + 0 -7 + -5w = -12 Add '7' to each side of the equation. -7 + 7 + -5w = -12 + 7 Combine like terms: -7 + 7 = 0 0 + -5w = -12 + 7 -5w = -12 + 7 Combine like terms: -12 + 7 = -5 -5w = -5 Divide each side by '-5'. w = 1 Simplifying w = 1
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