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Simplifying 3(4e + -17) = 2(5e + 16) Reorder the terms: 3(-17 + 4e) = 2(5e + 16) (-17 * 3 + 4e * 3) = 2(5e + 16) (-51 + 12e) = 2(5e + 16) Reorder the terms: -51 + 12e = 2(16 + 5e) -51 + 12e = (16 * 2 + 5e * 2) -51 + 12e = (32 + 10e) Solving -51 + 12e = 32 + 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. -51 + 12e + -10e = 32 + 10e + -10e Combine like terms: 12e + -10e = 2e -51 + 2e = 32 + 10e + -10e Combine like terms: 10e + -10e = 0 -51 + 2e = 32 + 0 -51 + 2e = 32 Add '51' to each side of the equation. -51 + 51 + 2e = 32 + 51 Combine like terms: -51 + 51 = 0 0 + 2e = 32 + 51 2e = 32 + 51 Combine like terms: 32 + 51 = 83 2e = 83 Divide each side by '2'. e = 41.5 Simplifying e = 41.5
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