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Simplifying 9w + -15 = 6(w + -3) Reorder the terms: -15 + 9w = 6(w + -3) Reorder the terms: -15 + 9w = 6(-3 + w) -15 + 9w = (-3 * 6 + w * 6) -15 + 9w = (-18 + 6w) Solving -15 + 9w = -18 + 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. -15 + 9w + -6w = -18 + 6w + -6w Combine like terms: 9w + -6w = 3w -15 + 3w = -18 + 6w + -6w Combine like terms: 6w + -6w = 0 -15 + 3w = -18 + 0 -15 + 3w = -18 Add '15' to each side of the equation. -15 + 15 + 3w = -18 + 15 Combine like terms: -15 + 15 = 0 0 + 3w = -18 + 15 3w = -18 + 15 Combine like terms: -18 + 15 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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