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Simplifying 4(2e + 5) = 3(3e + -4) Reorder the terms: 4(5 + 2e) = 3(3e + -4) (5 * 4 + 2e * 4) = 3(3e + -4) (20 + 8e) = 3(3e + -4) Reorder the terms: 20 + 8e = 3(-4 + 3e) 20 + 8e = (-4 * 3 + 3e * 3) 20 + 8e = (-12 + 9e) Solving 20 + 8e = -12 + 9e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-9e' to each side of the equation. 20 + 8e + -9e = -12 + 9e + -9e Combine like terms: 8e + -9e = -1e 20 + -1e = -12 + 9e + -9e Combine like terms: 9e + -9e = 0 20 + -1e = -12 + 0 20 + -1e = -12 Add '-20' to each side of the equation. 20 + -20 + -1e = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -1e = -12 + -20 -1e = -12 + -20 Combine like terms: -12 + -20 = -32 -1e = -32 Divide each side by '-1'. e = 32 Simplifying e = 32
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