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Simplifying 5(e + -6) + 9 = e + -1 Reorder the terms: 5(-6 + e) + 9 = e + -1 (-6 * 5 + e * 5) + 9 = e + -1 (-30 + 5e) + 9 = e + -1 Reorder the terms: -30 + 9 + 5e = e + -1 Combine like terms: -30 + 9 = -21 -21 + 5e = e + -1 Reorder the terms: -21 + 5e = -1 + e Solving -21 + 5e = -1 + 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. -21 + 5e + -1e = -1 + e + -1e Combine like terms: 5e + -1e = 4e -21 + 4e = -1 + e + -1e Combine like terms: e + -1e = 0 -21 + 4e = -1 + 0 -21 + 4e = -1 Add '21' to each side of the equation. -21 + 21 + 4e = -1 + 21 Combine like terms: -21 + 21 = 0 0 + 4e = -1 + 21 4e = -1 + 21 Combine like terms: -1 + 21 = 20 4e = 20 Divide each side by '4'. e = 5 Simplifying e = 5
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