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Simplifying (-6c + 5) + -1(-3c + 8) = 0 Reorder the terms: (5 + -6c) + -1(-3c + 8) = 0 Remove parenthesis around (5 + -6c) 5 + -6c + -1(-3c + 8) = 0 Reorder the terms: 5 + -6c + -1(8 + -3c) = 0 5 + -6c + (8 * -1 + -3c * -1) = 0 5 + -6c + (-8 + 3c) = 0 Reorder the terms: 5 + -8 + -6c + 3c = 0 Combine like terms: 5 + -8 = -3 -3 + -6c + 3c = 0 Combine like terms: -6c + 3c = -3c -3 + -3c = 0 Solving -3 + -3c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -3c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3c = 0 + 3 -3c = 0 + 3 Combine like terms: 0 + 3 = 3 -3c = 3 Divide each side by '-3'. c = -1 Simplifying c = -1
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