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Simplifying -3(w + 4) = 2w + -47 Reorder the terms: -3(4 + w) = 2w + -47 (4 * -3 + w * -3) = 2w + -47 (-12 + -3w) = 2w + -47 Reorder the terms: -12 + -3w = -47 + 2w Solving -12 + -3w = -47 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -12 + -3w + -2w = -47 + 2w + -2w Combine like terms: -3w + -2w = -5w -12 + -5w = -47 + 2w + -2w Combine like terms: 2w + -2w = 0 -12 + -5w = -47 + 0 -12 + -5w = -47 Add '12' to each side of the equation. -12 + 12 + -5w = -47 + 12 Combine like terms: -12 + 12 = 0 0 + -5w = -47 + 12 -5w = -47 + 12 Combine like terms: -47 + 12 = -35 -5w = -35 Divide each side by '-5'. w = 7 Simplifying w = 7
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