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Simplifying 7(w + -3) + -6 = -3(-4w + 7) + -1w Reorder the terms: 7(-3 + w) + -6 = -3(-4w + 7) + -1w (-3 * 7 + w * 7) + -6 = -3(-4w + 7) + -1w (-21 + 7w) + -6 = -3(-4w + 7) + -1w Reorder the terms: -21 + -6 + 7w = -3(-4w + 7) + -1w Combine like terms: -21 + -6 = -27 -27 + 7w = -3(-4w + 7) + -1w Reorder the terms: -27 + 7w = -3(7 + -4w) + -1w -27 + 7w = (7 * -3 + -4w * -3) + -1w -27 + 7w = (-21 + 12w) + -1w Combine like terms: 12w + -1w = 11w -27 + 7w = -21 + 11w Solving -27 + 7w = -21 + 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. -27 + 7w + -11w = -21 + 11w + -11w Combine like terms: 7w + -11w = -4w -27 + -4w = -21 + 11w + -11w Combine like terms: 11w + -11w = 0 -27 + -4w = -21 + 0 -27 + -4w = -21 Add '27' to each side of the equation. -27 + 27 + -4w = -21 + 27 Combine like terms: -27 + 27 = 0 0 + -4w = -21 + 27 -4w = -21 + 27 Combine like terms: -21 + 27 = 6 -4w = 6 Divide each side by '-4'. w = -1.5 Simplifying w = -1.5
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