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Simplifying 4e + -19 = -3(e + -4) Reorder the terms: -19 + 4e = -3(e + -4) Reorder the terms: -19 + 4e = -3(-4 + e) -19 + 4e = (-4 * -3 + e * -3) -19 + 4e = (12 + -3e) Solving -19 + 4e = 12 + -3e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '3e' to each side of the equation. -19 + 4e + 3e = 12 + -3e + 3e Combine like terms: 4e + 3e = 7e -19 + 7e = 12 + -3e + 3e Combine like terms: -3e + 3e = 0 -19 + 7e = 12 + 0 -19 + 7e = 12 Add '19' to each side of the equation. -19 + 19 + 7e = 12 + 19 Combine like terms: -19 + 19 = 0 0 + 7e = 12 + 19 7e = 12 + 19 Combine like terms: 12 + 19 = 31 7e = 31 Divide each side by '7'. e = 4.428571429 Simplifying e = 4.428571429
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