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Simplifying 9c + 4 = 4(3c + -2) Reorder the terms: 4 + 9c = 4(3c + -2) Reorder the terms: 4 + 9c = 4(-2 + 3c) 4 + 9c = (-2 * 4 + 3c * 4) 4 + 9c = (-8 + 12c) Solving 4 + 9c = -8 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 4 + 9c + -12c = -8 + 12c + -12c Combine like terms: 9c + -12c = -3c 4 + -3c = -8 + 12c + -12c Combine like terms: 12c + -12c = 0 4 + -3c = -8 + 0 4 + -3c = -8 Add '-4' to each side of the equation. 4 + -4 + -3c = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -3c = -8 + -4 -3c = -8 + -4 Combine like terms: -8 + -4 = -12 -3c = -12 Divide each side by '-3'. c = 4 Simplifying c = 4
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