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Simplifying -3(-4w + 9) + -2w = 6(w + -2) + -1 Reorder the terms: -3(9 + -4w) + -2w = 6(w + -2) + -1 (9 * -3 + -4w * -3) + -2w = 6(w + -2) + -1 (-27 + 12w) + -2w = 6(w + -2) + -1 Combine like terms: 12w + -2w = 10w -27 + 10w = 6(w + -2) + -1 Reorder the terms: -27 + 10w = 6(-2 + w) + -1 -27 + 10w = (-2 * 6 + w * 6) + -1 -27 + 10w = (-12 + 6w) + -1 Reorder the terms: -27 + 10w = -12 + -1 + 6w Combine like terms: -12 + -1 = -13 -27 + 10w = -13 + 6w Solving -27 + 10w = -13 + 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 + 10w + -6w = -13 + 6w + -6w Combine like terms: 10w + -6w = 4w -27 + 4w = -13 + 6w + -6w Combine like terms: 6w + -6w = 0 -27 + 4w = -13 + 0 -27 + 4w = -13 Add '27' to each side of the equation. -27 + 27 + 4w = -13 + 27 Combine like terms: -27 + 27 = 0 0 + 4w = -13 + 27 4w = -13 + 27 Combine like terms: -13 + 27 = 14 4w = 14 Divide each side by '4'. w = 3.5 Simplifying w = 3.5
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