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Simplifying 7(2e + -1) = 3(5e + -3) Reorder the terms: 7(-1 + 2e) = 3(5e + -3) (-1 * 7 + 2e * 7) = 3(5e + -3) (-7 + 14e) = 3(5e + -3) Reorder the terms: -7 + 14e = 3(-3 + 5e) -7 + 14e = (-3 * 3 + 5e * 3) -7 + 14e = (-9 + 15e) Solving -7 + 14e = -9 + 15e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-15e' to each side of the equation. -7 + 14e + -15e = -9 + 15e + -15e Combine like terms: 14e + -15e = -1e -7 + -1e = -9 + 15e + -15e Combine like terms: 15e + -15e = 0 -7 + -1e = -9 + 0 -7 + -1e = -9 Add '7' to each side of the equation. -7 + 7 + -1e = -9 + 7 Combine like terms: -7 + 7 = 0 0 + -1e = -9 + 7 -1e = -9 + 7 Combine like terms: -9 + 7 = -2 -1e = -2 Divide each side by '-1'. e = 2 Simplifying e = 2
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