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Simplifying (7c + -5) + -1(-8 + 5) = 15c + -10 Reorder the terms: (-5 + 7c) + -1(-8 + 5) = 15c + -10 Remove parenthesis around (-5 + 7c) -5 + 7c + -1(-8 + 5) = 15c + -10 Combine like terms: -8 + 5 = -3 -5 + 7c + -1(-3) = 15c + -10 Multiply -1 * -3 -5 + 7c + 3 = 15c + -10 Reorder the terms: -5 + 3 + 7c = 15c + -10 Combine like terms: -5 + 3 = -2 -2 + 7c = 15c + -10 Reorder the terms: -2 + 7c = -10 + 15c Solving -2 + 7c = -10 + 15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15c' to each side of the equation. -2 + 7c + -15c = -10 + 15c + -15c Combine like terms: 7c + -15c = -8c -2 + -8c = -10 + 15c + -15c Combine like terms: 15c + -15c = 0 -2 + -8c = -10 + 0 -2 + -8c = -10 Add '2' to each side of the equation. -2 + 2 + -8c = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -8c = -10 + 2 -8c = -10 + 2 Combine like terms: -10 + 2 = -8 -8c = -8 Divide each side by '-8'. c = 1 Simplifying c = 1
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