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Simplifying 2 = 5(-4w + 6) + 3 Reorder the terms: 2 = 5(6 + -4w) + 3 2 = (6 * 5 + -4w * 5) + 3 2 = (30 + -20w) + 3 Reorder the terms: 2 = 30 + 3 + -20w Combine like terms: 30 + 3 = 33 2 = 33 + -20w Solving 2 = 33 + -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. 2 + 20w = 33 + -20w + 20w Combine like terms: -20w + 20w = 0 2 + 20w = 33 + 0 2 + 20w = 33 Add '-2' to each side of the equation. 2 + -2 + 20w = 33 + -2 Combine like terms: 2 + -2 = 0 0 + 20w = 33 + -2 20w = 33 + -2 Combine like terms: 33 + -2 = 31 20w = 31 Divide each side by '20'. w = 1.55 Simplifying w = 1.55
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