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Simplifying -7(-3w + 6) + -4w = 5(w + -9) + -6 Reorder the terms: -7(6 + -3w) + -4w = 5(w + -9) + -6 (6 * -7 + -3w * -7) + -4w = 5(w + -9) + -6 (-42 + 21w) + -4w = 5(w + -9) + -6 Combine like terms: 21w + -4w = 17w -42 + 17w = 5(w + -9) + -6 Reorder the terms: -42 + 17w = 5(-9 + w) + -6 -42 + 17w = (-9 * 5 + w * 5) + -6 -42 + 17w = (-45 + 5w) + -6 Reorder the terms: -42 + 17w = -45 + -6 + 5w Combine like terms: -45 + -6 = -51 -42 + 17w = -51 + 5w Solving -42 + 17w = -51 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -42 + 17w + -5w = -51 + 5w + -5w Combine like terms: 17w + -5w = 12w -42 + 12w = -51 + 5w + -5w Combine like terms: 5w + -5w = 0 -42 + 12w = -51 + 0 -42 + 12w = -51 Add '42' to each side of the equation. -42 + 42 + 12w = -51 + 42 Combine like terms: -42 + 42 = 0 0 + 12w = -51 + 42 12w = -51 + 42 Combine like terms: -51 + 42 = -9 12w = -9 Divide each side by '12'. w = -0.75 Simplifying w = -0.75
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