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Simplifying 8e + 3(5 + -1c) = 10 8e + (5 * 3 + -1c * 3) = 10 8e + (15 + -3c) = 10 Reorder the terms: 15 + -3c + 8e = 10 Solving 15 + -3c + 8e = 10 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -3c + -15 + 8e = 10 + -15 Reorder the terms: 15 + -15 + -3c + 8e = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -3c + 8e = 10 + -15 -3c + 8e = 10 + -15 Combine like terms: 10 + -15 = -5 -3c + 8e = -5 Add '-8e' to each side of the equation. -3c + 8e + -8e = -5 + -8e Combine like terms: 8e + -8e = 0 -3c + 0 = -5 + -8e -3c = -5 + -8e Divide each side by '-3'. c = 1.666666667 + 2.666666667e Simplifying c = 1.666666667 + 2.666666667e
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