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Simplifying 5e + (6e + -30) = (15e + -210) + (e + 30) Reorder the terms: 5e + (-30 + 6e) = (15e + -210) + (e + 30) Remove parenthesis around (-30 + 6e) 5e + -30 + 6e = (15e + -210) + (e + 30) Reorder the terms: -30 + 5e + 6e = (15e + -210) + (e + 30) Combine like terms: 5e + 6e = 11e -30 + 11e = (15e + -210) + (e + 30) Reorder the terms: -30 + 11e = (-210 + 15e) + (e + 30) Remove parenthesis around (-210 + 15e) -30 + 11e = -210 + 15e + (e + 30) Reorder the terms: -30 + 11e = -210 + 15e + (30 + e) Remove parenthesis around (30 + e) -30 + 11e = -210 + 15e + 30 + e Reorder the terms: -30 + 11e = -210 + 30 + 15e + e Combine like terms: -210 + 30 = -180 -30 + 11e = -180 + 15e + e Combine like terms: 15e + e = 16e -30 + 11e = -180 + 16e Solving -30 + 11e = -180 + 16e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-16e' to each side of the equation. -30 + 11e + -16e = -180 + 16e + -16e Combine like terms: 11e + -16e = -5e -30 + -5e = -180 + 16e + -16e Combine like terms: 16e + -16e = 0 -30 + -5e = -180 + 0 -30 + -5e = -180 Add '30' to each side of the equation. -30 + 30 + -5e = -180 + 30 Combine like terms: -30 + 30 = 0 0 + -5e = -180 + 30 -5e = -180 + 30 Combine like terms: -180 + 30 = -150 -5e = -150 Divide each side by '-5'. e = 30 Simplifying e = 30
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