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Simplifying -4(-5w + 1) + -6w = 2(w + -2) + -9 Reorder the terms: -4(1 + -5w) + -6w = 2(w + -2) + -9 (1 * -4 + -5w * -4) + -6w = 2(w + -2) + -9 (-4 + 20w) + -6w = 2(w + -2) + -9 Combine like terms: 20w + -6w = 14w -4 + 14w = 2(w + -2) + -9 Reorder the terms: -4 + 14w = 2(-2 + w) + -9 -4 + 14w = (-2 * 2 + w * 2) + -9 -4 + 14w = (-4 + 2w) + -9 Reorder the terms: -4 + 14w = -4 + -9 + 2w Combine like terms: -4 + -9 = -13 -4 + 14w = -13 + 2w Solving -4 + 14w = -13 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -4 + 14w + -2w = -13 + 2w + -2w Combine like terms: 14w + -2w = 12w -4 + 12w = -13 + 2w + -2w Combine like terms: 2w + -2w = 0 -4 + 12w = -13 + 0 -4 + 12w = -13 Add '4' to each side of the equation. -4 + 4 + 12w = -13 + 4 Combine like terms: -4 + 4 = 0 0 + 12w = -13 + 4 12w = -13 + 4 Combine like terms: -13 + 4 = -9 12w = -9 Divide each side by '12'. w = -0.75 Simplifying w = -0.75
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