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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 = 7 7e = 7 Divide each side by '7'. e = 1 Simplifying e = 1
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