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Simplifying 7(w + -3) + -6 = -3(-8w + 6) + -5w Reorder the terms: 7(-3 + w) + -6 = -3(-8w + 6) + -5w (-3 * 7 + w * 7) + -6 = -3(-8w + 6) + -5w (-21 + 7w) + -6 = -3(-8w + 6) + -5w Reorder the terms: -21 + -6 + 7w = -3(-8w + 6) + -5w Combine like terms: -21 + -6 = -27 -27 + 7w = -3(-8w + 6) + -5w Reorder the terms: -27 + 7w = -3(6 + -8w) + -5w -27 + 7w = (6 * -3 + -8w * -3) + -5w -27 + 7w = (-18 + 24w) + -5w Combine like terms: 24w + -5w = 19w -27 + 7w = -18 + 19w Solving -27 + 7w = -18 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. -27 + 7w + -19w = -18 + 19w + -19w Combine like terms: 7w + -19w = -12w -27 + -12w = -18 + 19w + -19w Combine like terms: 19w + -19w = 0 -27 + -12w = -18 + 0 -27 + -12w = -18 Add '27' to each side of the equation. -27 + 27 + -12w = -18 + 27 Combine like terms: -27 + 27 = 0 0 + -12w = -18 + 27 -12w = -18 + 27 Combine like terms: -18 + 27 = 9 -12w = 9 Divide each side by '-12'. w = -0.75 Simplifying w = -0.75
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