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Simplifying -3w + -36 = 4(w + 5) Reorder the terms: -36 + -3w = 4(w + 5) Reorder the terms: -36 + -3w = 4(5 + w) -36 + -3w = (5 * 4 + w * 4) -36 + -3w = (20 + 4w) Solving -36 + -3w = 20 + 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 + -3w + -4w = 20 + 4w + -4w Combine like terms: -3w + -4w = -7w -36 + -7w = 20 + 4w + -4w Combine like terms: 4w + -4w = 0 -36 + -7w = 20 + 0 -36 + -7w = 20 Add '36' to each side of the equation. -36 + 36 + -7w = 20 + 36 Combine like terms: -36 + 36 = 0 0 + -7w = 20 + 36 -7w = 20 + 36 Combine like terms: 20 + 36 = 56 -7w = 56 Divide each side by '-7'. w = -8 Simplifying w = -8
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