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Simplifying 3e + -19 = -2(e + -4) Reorder the terms: -19 + 3e = -2(e + -4) Reorder the terms: -19 + 3e = -2(-4 + e) -19 + 3e = (-4 * -2 + e * -2) -19 + 3e = (8 + -2e) Solving -19 + 3e = 8 + -2e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '2e' to each side of the equation. -19 + 3e + 2e = 8 + -2e + 2e Combine like terms: 3e + 2e = 5e -19 + 5e = 8 + -2e + 2e Combine like terms: -2e + 2e = 0 -19 + 5e = 8 + 0 -19 + 5e = 8 Add '19' to each side of the equation. -19 + 19 + 5e = 8 + 19 Combine like terms: -19 + 19 = 0 0 + 5e = 8 + 19 5e = 8 + 19 Combine like terms: 8 + 19 = 27 5e = 27 Divide each side by '5'. e = 5.4 Simplifying e = 5.4
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