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Simplifying (3c + -7) + -1(-3c + 5) = 0 Reorder the terms: (-7 + 3c) + -1(-3c + 5) = 0 Remove parenthesis around (-7 + 3c) -7 + 3c + -1(-3c + 5) = 0 Reorder the terms: -7 + 3c + -1(5 + -3c) = 0 -7 + 3c + (5 * -1 + -3c * -1) = 0 -7 + 3c + (-5 + 3c) = 0 Reorder the terms: -7 + -5 + 3c + 3c = 0 Combine like terms: -7 + -5 = -12 -12 + 3c + 3c = 0 Combine like terms: 3c + 3c = 6c -12 + 6c = 0 Solving -12 + 6c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 6c = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6c = 0 + 12 6c = 0 + 12 Combine like terms: 0 + 12 = 12 6c = 12 Divide each side by '6'. c = 2 Simplifying c = 2
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