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Simplifying (-8c + -3) + -1(-1c + -6) = -6c + 10 Reorder the terms: (-3 + -8c) + -1(-1c + -6) = -6c + 10 Remove parenthesis around (-3 + -8c) -3 + -8c + -1(-1c + -6) = -6c + 10 Reorder the terms: -3 + -8c + -1(-6 + -1c) = -6c + 10 -3 + -8c + (-6 * -1 + -1c * -1) = -6c + 10 -3 + -8c + (6 + 1c) = -6c + 10 Reorder the terms: -3 + 6 + -8c + 1c = -6c + 10 Combine like terms: -3 + 6 = 3 3 + -8c + 1c = -6c + 10 Combine like terms: -8c + 1c = -7c 3 + -7c = -6c + 10 Reorder the terms: 3 + -7c = 10 + -6c Solving 3 + -7c = 10 + -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. 3 + -7c + 6c = 10 + -6c + 6c Combine like terms: -7c + 6c = -1c 3 + -1c = 10 + -6c + 6c Combine like terms: -6c + 6c = 0 3 + -1c = 10 + 0 3 + -1c = 10 Add '-3' to each side of the equation. 3 + -3 + -1c = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 10 + -3 -1c = 10 + -3 Combine like terms: 10 + -3 = 7 -1c = 7 Divide each side by '-1'. c = -7 Simplifying c = -7
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