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Simplifying -31 + -3c = -7(8c + 5) Reorder the terms: -31 + -3c = -7(5 + 8c) -31 + -3c = (5 * -7 + 8c * -7) -31 + -3c = (-35 + -56c) Solving -31 + -3c = -35 + -56c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '56c' to each side of the equation. -31 + -3c + 56c = -35 + -56c + 56c Combine like terms: -3c + 56c = 53c -31 + 53c = -35 + -56c + 56c Combine like terms: -56c + 56c = 0 -31 + 53c = -35 + 0 -31 + 53c = -35 Add '31' to each side of the equation. -31 + 31 + 53c = -35 + 31 Combine like terms: -31 + 31 = 0 0 + 53c = -35 + 31 53c = -35 + 31 Combine like terms: -35 + 31 = -4 53c = -4 Divide each side by '53'. c = -0.07547169811 Simplifying c = -0.07547169811
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