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Simplifying -9w + -15 = 6(w + -5) Reorder the terms: -15 + -9w = 6(w + -5) Reorder the terms: -15 + -9w = 6(-5 + w) -15 + -9w = (-5 * 6 + w * 6) -15 + -9w = (-30 + 6w) Solving -15 + -9w = -30 + 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 = -30 + 6w + -6w Combine like terms: -9w + -6w = -15w -15 + -15w = -30 + 6w + -6w Combine like terms: 6w + -6w = 0 -15 + -15w = -30 + 0 -15 + -15w = -30 Add '15' to each side of the equation. -15 + 15 + -15w = -30 + 15 Combine like terms: -15 + 15 = 0 0 + -15w = -30 + 15 -15w = -30 + 15 Combine like terms: -30 + 15 = -15 -15w = -15 Divide each side by '-15'. w = 1 Simplifying w = 1
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