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Simplifying 7e + 4(e + -3) + -8 + 2e = 32 Reorder the terms: 7e + 4(-3 + e) + -8 + 2e = 32 7e + (-3 * 4 + e * 4) + -8 + 2e = 32 7e + (-12 + 4e) + -8 + 2e = 32 Reorder the terms: -12 + -8 + 7e + 4e + 2e = 32 Combine like terms: -12 + -8 = -20 -20 + 7e + 4e + 2e = 32 Combine like terms: 7e + 4e = 11e -20 + 11e + 2e = 32 Combine like terms: 11e + 2e = 13e -20 + 13e = 32 Solving -20 + 13e = 32 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 13e = 32 + 20 Combine like terms: -20 + 20 = 0 0 + 13e = 32 + 20 13e = 32 + 20 Combine like terms: 32 + 20 = 52 13e = 52 Divide each side by '13'. e = 4 Simplifying e = 4
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