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Simplifying -8w + 3(w + -4) = 23 Reorder the terms: -8w + 3(-4 + w) = 23 -8w + (-4 * 3 + w * 3) = 23 -8w + (-12 + 3w) = 23 Reorder the terms: -12 + -8w + 3w = 23 Combine like terms: -8w + 3w = -5w -12 + -5w = 23 Solving -12 + -5w = 23 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 = 23 + 12 Combine like terms: -12 + 12 = 0 0 + -5w = 23 + 12 -5w = 23 + 12 Combine like terms: 23 + 12 = 35 -5w = 35 Divide each side by '-5'. w = -7 Simplifying w = -7
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