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Simplifying 3e + -6 = -2(e + -10) + -7 Reorder the terms: -6 + 3e = -2(e + -10) + -7 Reorder the terms: -6 + 3e = -2(-10 + e) + -7 -6 + 3e = (-10 * -2 + e * -2) + -7 -6 + 3e = (20 + -2e) + -7 Reorder the terms: -6 + 3e = 20 + -7 + -2e Combine like terms: 20 + -7 = 13 -6 + 3e = 13 + -2e Solving -6 + 3e = 13 + -2e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '2e' to each side of the equation. -6 + 3e + 2e = 13 + -2e + 2e Combine like terms: 3e + 2e = 5e -6 + 5e = 13 + -2e + 2e Combine like terms: -2e + 2e = 0 -6 + 5e = 13 + 0 -6 + 5e = 13 Add '6' to each side of the equation. -6 + 6 + 5e = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 5e = 13 + 6 5e = 13 + 6 Combine like terms: 13 + 6 = 19 5e = 19 Divide each side by '5'. e = 3.8 Simplifying e = 3.8
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