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