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Simplifying 4(w + -2) = 8w + 5 + -2(-3w + -1) Reorder the terms: 4(-2 + w) = 8w + 5 + -2(-3w + -1) (-2 * 4 + w * 4) = 8w + 5 + -2(-3w + -1) (-8 + 4w) = 8w + 5 + -2(-3w + -1) Reorder the terms: -8 + 4w = 8w + 5 + -2(-1 + -3w) -8 + 4w = 8w + 5 + (-1 * -2 + -3w * -2) -8 + 4w = 8w + 5 + (2 + 6w) Reorder the terms: -8 + 4w = 5 + 2 + 8w + 6w Combine like terms: 5 + 2 = 7 -8 + 4w = 7 + 8w + 6w Combine like terms: 8w + 6w = 14w -8 + 4w = 7 + 14w Solving -8 + 4w = 7 + 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. -8 + 4w + -14w = 7 + 14w + -14w Combine like terms: 4w + -14w = -10w -8 + -10w = 7 + 14w + -14w Combine like terms: 14w + -14w = 0 -8 + -10w = 7 + 0 -8 + -10w = 7 Add '8' to each side of the equation. -8 + 8 + -10w = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -10w = 7 + 8 -10w = 7 + 8 Combine like terms: 7 + 8 = 15 -10w = 15 Divide each side by '-10'. w = -1.5 Simplifying w = -1.5
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