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Simplifying 7(w + -1) + -9 = -2(-6w + 1) + -1w Reorder the terms: 7(-1 + w) + -9 = -2(-6w + 1) + -1w (-1 * 7 + w * 7) + -9 = -2(-6w + 1) + -1w (-7 + 7w) + -9 = -2(-6w + 1) + -1w Reorder the terms: -7 + -9 + 7w = -2(-6w + 1) + -1w Combine like terms: -7 + -9 = -16 -16 + 7w = -2(-6w + 1) + -1w Reorder the terms: -16 + 7w = -2(1 + -6w) + -1w -16 + 7w = (1 * -2 + -6w * -2) + -1w -16 + 7w = (-2 + 12w) + -1w Combine like terms: 12w + -1w = 11w -16 + 7w = -2 + 11w Solving -16 + 7w = -2 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -16 + 7w + -11w = -2 + 11w + -11w Combine like terms: 7w + -11w = -4w -16 + -4w = -2 + 11w + -11w Combine like terms: 11w + -11w = 0 -16 + -4w = -2 + 0 -16 + -4w = -2 Add '16' to each side of the equation. -16 + 16 + -4w = -2 + 16 Combine like terms: -16 + 16 = 0 0 + -4w = -2 + 16 -4w = -2 + 16 Combine like terms: -2 + 16 = 14 -4w = 14 Divide each side by '-4'. w = -3.5 Simplifying w = -3.5
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