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Simplifying -6(w + 2) + -1(3 + -9w) = 2w Reorder the terms: -6(2 + w) + -1(3 + -9w) = 2w (2 * -6 + w * -6) + -1(3 + -9w) = 2w (-12 + -6w) + -1(3 + -9w) = 2w -12 + -6w + (3 * -1 + -9w * -1) = 2w -12 + -6w + (-3 + 9w) = 2w Reorder the terms: -12 + -3 + -6w + 9w = 2w Combine like terms: -12 + -3 = -15 -15 + -6w + 9w = 2w Combine like terms: -6w + 9w = 3w -15 + 3w = 2w Solving -15 + 3w = 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -15 + 3w + -2w = 2w + -2w Combine like terms: 3w + -2w = 1w -15 + 1w = 2w + -2w Combine like terms: 2w + -2w = 0 -15 + 1w = 0 Add '15' to each side of the equation. -15 + 15 + 1w = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1w = 0 + 15 1w = 0 + 15 Combine like terms: 0 + 15 = 15 1w = 15 Divide each side by '1'. w = 15 Simplifying w = 15
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