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Simplifying -3(e + -4) + 15 = -5(e + -7) + -10 Reorder the terms: -3(-4 + e) + 15 = -5(e + -7) + -10 (-4 * -3 + e * -3) + 15 = -5(e + -7) + -10 (12 + -3e) + 15 = -5(e + -7) + -10 Reorder the terms: 12 + 15 + -3e = -5(e + -7) + -10 Combine like terms: 12 + 15 = 27 27 + -3e = -5(e + -7) + -10 Reorder the terms: 27 + -3e = -5(-7 + e) + -10 27 + -3e = (-7 * -5 + e * -5) + -10 27 + -3e = (35 + -5e) + -10 Reorder the terms: 27 + -3e = 35 + -10 + -5e Combine like terms: 35 + -10 = 25 27 + -3e = 25 + -5e Solving 27 + -3e = 25 + -5e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '5e' to each side of the equation. 27 + -3e + 5e = 25 + -5e + 5e Combine like terms: -3e + 5e = 2e 27 + 2e = 25 + -5e + 5e Combine like terms: -5e + 5e = 0 27 + 2e = 25 + 0 27 + 2e = 25 Add '-27' to each side of the equation. 27 + -27 + 2e = 25 + -27 Combine like terms: 27 + -27 = 0 0 + 2e = 25 + -27 2e = 25 + -27 Combine like terms: 25 + -27 = -2 2e = -2 Divide each side by '2'. e = -1 Simplifying e = -1
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