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Simplifying 4(3c + -1) + -6 = 7c + 5 Reorder the terms: 4(-1 + 3c) + -6 = 7c + 5 (-1 * 4 + 3c * 4) + -6 = 7c + 5 (-4 + 12c) + -6 = 7c + 5 Reorder the terms: -4 + -6 + 12c = 7c + 5 Combine like terms: -4 + -6 = -10 -10 + 12c = 7c + 5 Reorder the terms: -10 + 12c = 5 + 7c Solving -10 + 12c = 5 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -10 + 12c + -7c = 5 + 7c + -7c Combine like terms: 12c + -7c = 5c -10 + 5c = 5 + 7c + -7c Combine like terms: 7c + -7c = 0 -10 + 5c = 5 + 0 -10 + 5c = 5 Add '10' to each side of the equation. -10 + 10 + 5c = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 5c = 5 + 10 5c = 5 + 10 Combine like terms: 5 + 10 = 15 5c = 15 Divide each side by '5'. c = 3 Simplifying c = 3
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