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Simplifying 4(-3c + 1) = -10(c + -4) + -14c Reorder the terms: 4(1 + -3c) = -10(c + -4) + -14c (1 * 4 + -3c * 4) = -10(c + -4) + -14c (4 + -12c) = -10(c + -4) + -14c Reorder the terms: 4 + -12c = -10(-4 + c) + -14c 4 + -12c = (-4 * -10 + c * -10) + -14c 4 + -12c = (40 + -10c) + -14c Combine like terms: -10c + -14c = -24c 4 + -12c = 40 + -24c Solving 4 + -12c = 40 + -24c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '24c' to each side of the equation. 4 + -12c + 24c = 40 + -24c + 24c Combine like terms: -12c + 24c = 12c 4 + 12c = 40 + -24c + 24c Combine like terms: -24c + 24c = 0 4 + 12c = 40 + 0 4 + 12c = 40 Add '-4' to each side of the equation. 4 + -4 + 12c = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 12c = 40 + -4 12c = 40 + -4 Combine like terms: 40 + -4 = 36 12c = 36 Divide each side by '12'. c = 3 Simplifying c = 3
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