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Simplifying 3(w + -4) = 7w + -36 Reorder the terms: 3(-4 + w) = 7w + -36 (-4 * 3 + w * 3) = 7w + -36 (-12 + 3w) = 7w + -36 Reorder the terms: -12 + 3w = -36 + 7w Solving -12 + 3w = -36 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -12 + 3w + -7w = -36 + 7w + -7w Combine like terms: 3w + -7w = -4w -12 + -4w = -36 + 7w + -7w Combine like terms: 7w + -7w = 0 -12 + -4w = -36 + 0 -12 + -4w = -36 Add '12' to each side of the equation. -12 + 12 + -4w = -36 + 12 Combine like terms: -12 + 12 = 0 0 + -4w = -36 + 12 -4w = -36 + 12 Combine like terms: -36 + 12 = -24 -4w = -24 Divide each side by '-4'. w = 6 Simplifying w = 6
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