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Simplifying -9w + -36 = 6(w + 9) Reorder the terms: -36 + -9w = 6(w + 9) Reorder the terms: -36 + -9w = 6(9 + w) -36 + -9w = (9 * 6 + w * 6) -36 + -9w = (54 + 6w) Solving -36 + -9w = 54 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -36 + -9w + -6w = 54 + 6w + -6w Combine like terms: -9w + -6w = -15w -36 + -15w = 54 + 6w + -6w Combine like terms: 6w + -6w = 0 -36 + -15w = 54 + 0 -36 + -15w = 54 Add '36' to each side of the equation. -36 + 36 + -15w = 54 + 36 Combine like terms: -36 + 36 = 0 0 + -15w = 54 + 36 -15w = 54 + 36 Combine like terms: 54 + 36 = 90 -15w = 90 Divide each side by '-15'. w = -6 Simplifying w = -6
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