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Simplifying -36 = -7w + 4(w + -3) Reorder the terms: -36 = -7w + 4(-3 + w) -36 = -7w + (-3 * 4 + w * 4) -36 = -7w + (-12 + 4w) Reorder the terms: -36 = -12 + -7w + 4w Combine like terms: -7w + 4w = -3w -36 = -12 + -3w Solving -36 = -12 + -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. -36 + 3w = -12 + -3w + 3w Combine like terms: -3w + 3w = 0 -36 + 3w = -12 + 0 -36 + 3w = -12 Add '36' to each side of the equation. -36 + 36 + 3w = -12 + 36 Combine like terms: -36 + 36 = 0 0 + 3w = -12 + 36 3w = -12 + 36 Combine like terms: -12 + 36 = 24 3w = 24 Divide each side by '3'. w = 8 Simplifying w = 8
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