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Simplifying 3(5e + -3) = 6(2e + 2) Reorder the terms: 3(-3 + 5e) = 6(2e + 2) (-3 * 3 + 5e * 3) = 6(2e + 2) (-9 + 15e) = 6(2e + 2) Reorder the terms: -9 + 15e = 6(2 + 2e) -9 + 15e = (2 * 6 + 2e * 6) -9 + 15e = (12 + 12e) Solving -9 + 15e = 12 + 12e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-12e' to each side of the equation. -9 + 15e + -12e = 12 + 12e + -12e Combine like terms: 15e + -12e = 3e -9 + 3e = 12 + 12e + -12e Combine like terms: 12e + -12e = 0 -9 + 3e = 12 + 0 -9 + 3e = 12 Add '9' to each side of the equation. -9 + 9 + 3e = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 3e = 12 + 9 3e = 12 + 9 Combine like terms: 12 + 9 = 21 3e = 21 Divide each side by '3'. e = 7 Simplifying e = 7
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