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Simplifying 3w + -30 = 9(w + -8) Reorder the terms: -30 + 3w = 9(w + -8) Reorder the terms: -30 + 3w = 9(-8 + w) -30 + 3w = (-8 * 9 + w * 9) -30 + 3w = (-72 + 9w) Solving -30 + 3w = -72 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -30 + 3w + -9w = -72 + 9w + -9w Combine like terms: 3w + -9w = -6w -30 + -6w = -72 + 9w + -9w Combine like terms: 9w + -9w = 0 -30 + -6w = -72 + 0 -30 + -6w = -72 Add '30' to each side of the equation. -30 + 30 + -6w = -72 + 30 Combine like terms: -30 + 30 = 0 0 + -6w = -72 + 30 -6w = -72 + 30 Combine like terms: -72 + 30 = -42 -6w = -42 Divide each side by '-6'. w = 7 Simplifying w = 7
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