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Simplifying 15(e + -3) = -10 + (e + 2) Reorder the terms: 15(-3 + e) = -10 + (e + 2) (-3 * 15 + e * 15) = -10 + (e + 2) (-45 + 15e) = -10 + (e + 2) Reorder the terms: -45 + 15e = -10 + (2 + e) Remove parenthesis around (2 + e) -45 + 15e = -10 + 2 + e Combine like terms: -10 + 2 = -8 -45 + 15e = -8 + e Solving -45 + 15e = -8 + 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. -45 + 15e + -1e = -8 + e + -1e Combine like terms: 15e + -1e = 14e -45 + 14e = -8 + e + -1e Combine like terms: e + -1e = 0 -45 + 14e = -8 + 0 -45 + 14e = -8 Add '45' to each side of the equation. -45 + 45 + 14e = -8 + 45 Combine like terms: -45 + 45 = 0 0 + 14e = -8 + 45 14e = -8 + 45 Combine like terms: -8 + 45 = 37 14e = 37 Divide each side by '14'. e = 2.642857143 Simplifying e = 2.642857143
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