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Simplifying 3(w + -4) + -8w = -7 Reorder the terms: 3(-4 + w) + -8w = -7 (-4 * 3 + w * 3) + -8w = -7 (-12 + 3w) + -8w = -7 Combine like terms: 3w + -8w = -5w -12 + -5w = -7 Solving -12 + -5w = -7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5w = -7 + 12 Combine like terms: -12 + 12 = 0 0 + -5w = -7 + 12 -5w = -7 + 12 Combine like terms: -7 + 12 = 5 -5w = 5 Divide each side by '-5'. w = -1 Simplifying w = -1
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