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Simplifying -3(-2w + 3) + -9w = 3(w + -7) + -3 Reorder the terms: -3(3 + -2w) + -9w = 3(w + -7) + -3 (3 * -3 + -2w * -3) + -9w = 3(w + -7) + -3 (-9 + 6w) + -9w = 3(w + -7) + -3 Combine like terms: 6w + -9w = -3w -9 + -3w = 3(w + -7) + -3 Reorder the terms: -9 + -3w = 3(-7 + w) + -3 -9 + -3w = (-7 * 3 + w * 3) + -3 -9 + -3w = (-21 + 3w) + -3 Reorder the terms: -9 + -3w = -21 + -3 + 3w Combine like terms: -21 + -3 = -24 -9 + -3w = -24 + 3w Solving -9 + -3w = -24 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -9 + -3w + -3w = -24 + 3w + -3w Combine like terms: -3w + -3w = -6w -9 + -6w = -24 + 3w + -3w Combine like terms: 3w + -3w = 0 -9 + -6w = -24 + 0 -9 + -6w = -24 Add '9' to each side of the equation. -9 + 9 + -6w = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -6w = -24 + 9 -6w = -24 + 9 Combine like terms: -24 + 9 = -15 -6w = -15 Divide each side by '-6'. w = 2.5 Simplifying w = 2.5
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