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Simplifying 2(3e + -1) = 5(2e + 3) + -1 Reorder the terms: 2(-1 + 3e) = 5(2e + 3) + -1 (-1 * 2 + 3e * 2) = 5(2e + 3) + -1 (-2 + 6e) = 5(2e + 3) + -1 Reorder the terms: -2 + 6e = 5(3 + 2e) + -1 -2 + 6e = (3 * 5 + 2e * 5) + -1 -2 + 6e = (15 + 10e) + -1 Reorder the terms: -2 + 6e = 15 + -1 + 10e Combine like terms: 15 + -1 = 14 -2 + 6e = 14 + 10e Solving -2 + 6e = 14 + 10e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-10e' to each side of the equation. -2 + 6e + -10e = 14 + 10e + -10e Combine like terms: 6e + -10e = -4e -2 + -4e = 14 + 10e + -10e Combine like terms: 10e + -10e = 0 -2 + -4e = 14 + 0 -2 + -4e = 14 Add '2' to each side of the equation. -2 + 2 + -4e = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -4e = 14 + 2 -4e = 14 + 2 Combine like terms: 14 + 2 = 16 -4e = 16 Divide each side by '-4'. e = -4 Simplifying e = -4
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