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Simplifying 8 = 3(w + -4) + 8 Reorder the terms: 8 = 3(-4 + w) + 8 8 = (-4 * 3 + w * 3) + 8 8 = (-12 + 3w) + 8 Reorder the terms: 8 = -12 + 8 + 3w Combine like terms: -12 + 8 = -4 8 = -4 + 3w Solving 8 = -4 + 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. 8 + -3w = -4 + 3w + -3w Combine like terms: 3w + -3w = 0 8 + -3w = -4 + 0 8 + -3w = -4 Add '-8' to each side of the equation. 8 + -8 + -3w = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -3w = -4 + -8 -3w = -4 + -8 Combine like terms: -4 + -8 = -12 -3w = -12 Divide each side by '-3'. w = 4 Simplifying w = 4
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