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Simplifying 5(e + -6) + 8 = e + -2 Reorder the terms: 5(-6 + e) + 8 = e + -2 (-6 * 5 + e * 5) + 8 = e + -2 (-30 + 5e) + 8 = e + -2 Reorder the terms: -30 + 8 + 5e = e + -2 Combine like terms: -30 + 8 = -22 -22 + 5e = e + -2 Reorder the terms: -22 + 5e = -2 + e Solving -22 + 5e = -2 + e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1e' to each side of the equation. -22 + 5e + -1e = -2 + e + -1e Combine like terms: 5e + -1e = 4e -22 + 4e = -2 + e + -1e Combine like terms: e + -1e = 0 -22 + 4e = -2 + 0 -22 + 4e = -2 Add '22' to each side of the equation. -22 + 22 + 4e = -2 + 22 Combine like terms: -22 + 22 = 0 0 + 4e = -2 + 22 4e = -2 + 22 Combine like terms: -2 + 22 = 20 4e = 20 Divide each side by '4'. e = 5 Simplifying e = 5
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