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Simplifying 7(2e + -3) = e + 10 Reorder the terms: 7(-3 + 2e) = e + 10 (-3 * 7 + 2e * 7) = e + 10 (-21 + 14e) = e + 10 Reorder the terms: -21 + 14e = 10 + e Solving -21 + 14e = 10 + 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 + 14e + -1e = 10 + e + -1e Combine like terms: 14e + -1e = 13e -21 + 13e = 10 + e + -1e Combine like terms: e + -1e = 0 -21 + 13e = 10 + 0 -21 + 13e = 10 Add '21' to each side of the equation. -21 + 21 + 13e = 10 + 21 Combine like terms: -21 + 21 = 0 0 + 13e = 10 + 21 13e = 10 + 21 Combine like terms: 10 + 21 = 31 13e = 31 Divide each side by '13'. e = 2.384615385 Simplifying e = 2.384615385
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