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Simplifying 28 = 46 + -5(-3 + -4w) 28 = 46 + (-3 * -5 + -4w * -5) 28 = 46 + (15 + 20w) Combine like terms: 46 + 15 = 61 28 = 61 + 20w Solving 28 = 61 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. 28 + -20w = 61 + 20w + -20w Combine like terms: 20w + -20w = 0 28 + -20w = 61 + 0 28 + -20w = 61 Add '-28' to each side of the equation. 28 + -28 + -20w = 61 + -28 Combine like terms: 28 + -28 = 0 0 + -20w = 61 + -28 -20w = 61 + -28 Combine like terms: 61 + -28 = 33 -20w = 33 Divide each side by '-20'. w = -1.65 Simplifying w = -1.65
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