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Simplifying 5e + -4(3 + -2e) = 1.2(48e + 20) 5e + (3 * -4 + -2e * -4) = 1.2(48e + 20) 5e + (-12 + 8e) = 1.2(48e + 20) Reorder the terms: -12 + 5e + 8e = 1.2(48e + 20) Combine like terms: 5e + 8e = 13e -12 + 13e = 1.2(48e + 20) Reorder the terms: -12 + 13e = 1.2(20 + 48e) -12 + 13e = (20 * 1.2 + 48e * 1.2) -12 + 13e = (24 + 57.6e) Solving -12 + 13e = 24 + 57.6e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-57.6e' to each side of the equation. -12 + 13e + -57.6e = 24 + 57.6e + -57.6e Combine like terms: 13e + -57.6e = -44.6e -12 + -44.6e = 24 + 57.6e + -57.6e Combine like terms: 57.6e + -57.6e = 0.0 -12 + -44.6e = 24 + 0.0 -12 + -44.6e = 24 Add '12' to each side of the equation. -12 + 12 + -44.6e = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -44.6e = 24 + 12 -44.6e = 24 + 12 Combine like terms: 24 + 12 = 36 -44.6e = 36 Divide each side by '-44.6'. e = -0.8071748879 Simplifying e = -0.8071748879
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