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Simplifying 9(w + -7) + -1(6w + -2) = 2w Reorder the terms: 9(-7 + w) + -1(6w + -2) = 2w (-7 * 9 + w * 9) + -1(6w + -2) = 2w (-63 + 9w) + -1(6w + -2) = 2w Reorder the terms: -63 + 9w + -1(-2 + 6w) = 2w -63 + 9w + (-2 * -1 + 6w * -1) = 2w -63 + 9w + (2 + -6w) = 2w Reorder the terms: -63 + 2 + 9w + -6w = 2w Combine like terms: -63 + 2 = -61 -61 + 9w + -6w = 2w Combine like terms: 9w + -6w = 3w -61 + 3w = 2w Solving -61 + 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. -61 + 3w + -2w = 2w + -2w Combine like terms: 3w + -2w = 1w -61 + 1w = 2w + -2w Combine like terms: 2w + -2w = 0 -61 + 1w = 0 Add '61' to each side of the equation. -61 + 61 + 1w = 0 + 61 Combine like terms: -61 + 61 = 0 0 + 1w = 0 + 61 1w = 0 + 61 Combine like terms: 0 + 61 = 61 1w = 61 Divide each side by '1'. w = 61 Simplifying w = 61
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