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Simplifying 4e + -7 = 7(e + -4) Reorder the terms: -7 + 4e = 7(e + -4) Reorder the terms: -7 + 4e = 7(-4 + e) -7 + 4e = (-4 * 7 + e * 7) -7 + 4e = (-28 + 7e) Solving -7 + 4e = -28 + 7e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-7e' to each side of the equation. -7 + 4e + -7e = -28 + 7e + -7e Combine like terms: 4e + -7e = -3e -7 + -3e = -28 + 7e + -7e Combine like terms: 7e + -7e = 0 -7 + -3e = -28 + 0 -7 + -3e = -28 Add '7' to each side of the equation. -7 + 7 + -3e = -28 + 7 Combine like terms: -7 + 7 = 0 0 + -3e = -28 + 7 -3e = -28 + 7 Combine like terms: -28 + 7 = -21 -3e = -21 Divide each side by '-3'. e = 7 Simplifying e = 7
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