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Simplifying 4(w + -1) = 8w + 5 + -2(-3w + -3) Reorder the terms: 4(-1 + w) = 8w + 5 + -2(-3w + -3) (-1 * 4 + w * 4) = 8w + 5 + -2(-3w + -3) (-4 + 4w) = 8w + 5 + -2(-3w + -3) Reorder the terms: -4 + 4w = 8w + 5 + -2(-3 + -3w) -4 + 4w = 8w + 5 + (-3 * -2 + -3w * -2) -4 + 4w = 8w + 5 + (6 + 6w) Reorder the terms: -4 + 4w = 5 + 6 + 8w + 6w Combine like terms: 5 + 6 = 11 -4 + 4w = 11 + 8w + 6w Combine like terms: 8w + 6w = 14w -4 + 4w = 11 + 14w Solving -4 + 4w = 11 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -4 + 4w + -14w = 11 + 14w + -14w Combine like terms: 4w + -14w = -10w -4 + -10w = 11 + 14w + -14w Combine like terms: 14w + -14w = 0 -4 + -10w = 11 + 0 -4 + -10w = 11 Add '4' to each side of the equation. -4 + 4 + -10w = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -10w = 11 + 4 -10w = 11 + 4 Combine like terms: 11 + 4 = 15 -10w = 15 Divide each side by '-10'. w = -1.5 Simplifying w = -1.5
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