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Simplifying -7 = -8w + 3(w + -4) Reorder the terms: -7 = -8w + 3(-4 + w) -7 = -8w + (-4 * 3 + w * 3) -7 = -8w + (-12 + 3w) Reorder the terms: -7 = -12 + -8w + 3w Combine like terms: -8w + 3w = -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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