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Simplifying 5(1 + -2w) + 8e = 15 (1 * 5 + -2w * 5) + 8e = 15 (5 + -10w) + 8e = 15 Reorder the terms: 5 + 8e + -10w = 15 Solving 5 + 8e + -10w = 15 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 8e + -5 + -10w = 15 + -5 Reorder the terms: 5 + -5 + 8e + -10w = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 8e + -10w = 15 + -5 8e + -10w = 15 + -5 Combine like terms: 15 + -5 = 10 8e + -10w = 10 Add '10w' to each side of the equation. 8e + -10w + 10w = 10 + 10w Combine like terms: -10w + 10w = 0 8e + 0 = 10 + 10w 8e = 10 + 10w Divide each side by '8'. e = 1.25 + 1.25w Simplifying e = 1.25 + 1.25w
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