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Simplifying 2e + 38 = 2(5e + -4) + -2 Reorder the terms: 38 + 2e = 2(5e + -4) + -2 Reorder the terms: 38 + 2e = 2(-4 + 5e) + -2 38 + 2e = (-4 * 2 + 5e * 2) + -2 38 + 2e = (-8 + 10e) + -2 Reorder the terms: 38 + 2e = -8 + -2 + 10e Combine like terms: -8 + -2 = -10 38 + 2e = -10 + 10e Solving 38 + 2e = -10 + 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. 38 + 2e + -10e = -10 + 10e + -10e Combine like terms: 2e + -10e = -8e 38 + -8e = -10 + 10e + -10e Combine like terms: 10e + -10e = 0 38 + -8e = -10 + 0 38 + -8e = -10 Add '-38' to each side of the equation. 38 + -38 + -8e = -10 + -38 Combine like terms: 38 + -38 = 0 0 + -8e = -10 + -38 -8e = -10 + -38 Combine like terms: -10 + -38 = -48 -8e = -48 Divide each side by '-8'. e = 6 Simplifying e = 6
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