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Simplifying 2(w + -1) + -1 = -3(-5w + 7) + -9w Reorder the terms: 2(-1 + w) + -1 = -3(-5w + 7) + -9w (-1 * 2 + w * 2) + -1 = -3(-5w + 7) + -9w (-2 + 2w) + -1 = -3(-5w + 7) + -9w Reorder the terms: -2 + -1 + 2w = -3(-5w + 7) + -9w Combine like terms: -2 + -1 = -3 -3 + 2w = -3(-5w + 7) + -9w Reorder the terms: -3 + 2w = -3(7 + -5w) + -9w -3 + 2w = (7 * -3 + -5w * -3) + -9w -3 + 2w = (-21 + 15w) + -9w Combine like terms: 15w + -9w = 6w -3 + 2w = -21 + 6w Solving -3 + 2w = -21 + 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. -3 + 2w + -6w = -21 + 6w + -6w Combine like terms: 2w + -6w = -4w -3 + -4w = -21 + 6w + -6w Combine like terms: 6w + -6w = 0 -3 + -4w = -21 + 0 -3 + -4w = -21 Add '3' to each side of the equation. -3 + 3 + -4w = -21 + 3 Combine like terms: -3 + 3 = 0 0 + -4w = -21 + 3 -4w = -21 + 3 Combine like terms: -21 + 3 = -18 -4w = -18 Divide each side by '-4'. w = 4.5 Simplifying w = 4.5
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