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Simplifying -3(6w + 9) + -2w = 6(w + -4) + -5 Reorder the terms: -3(9 + 6w) + -2w = 6(w + -4) + -5 (9 * -3 + 6w * -3) + -2w = 6(w + -4) + -5 (-27 + -18w) + -2w = 6(w + -4) + -5 Combine like terms: -18w + -2w = -20w -27 + -20w = 6(w + -4) + -5 Reorder the terms: -27 + -20w = 6(-4 + w) + -5 -27 + -20w = (-4 * 6 + w * 6) + -5 -27 + -20w = (-24 + 6w) + -5 Reorder the terms: -27 + -20w = -24 + -5 + 6w Combine like terms: -24 + -5 = -29 -27 + -20w = -29 + 6w Solving -27 + -20w = -29 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -27 + -20w + -6w = -29 + 6w + -6w Combine like terms: -20w + -6w = -26w -27 + -26w = -29 + 6w + -6w Combine like terms: 6w + -6w = 0 -27 + -26w = -29 + 0 -27 + -26w = -29 Add '27' to each side of the equation. -27 + 27 + -26w = -29 + 27 Combine like terms: -27 + 27 = 0 0 + -26w = -29 + 27 -26w = -29 + 27 Combine like terms: -29 + 27 = -2 -26w = -2 Divide each side by '-26'. w = 0.07692307692 Simplifying w = 0.07692307692
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