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Simplifying 4(3c + -1) + -2 = 7c + 4 Reorder the terms: 4(-1 + 3c) + -2 = 7c + 4 (-1 * 4 + 3c * 4) + -2 = 7c + 4 (-4 + 12c) + -2 = 7c + 4 Reorder the terms: -4 + -2 + 12c = 7c + 4 Combine like terms: -4 + -2 = -6 -6 + 12c = 7c + 4 Reorder the terms: -6 + 12c = 4 + 7c Solving -6 + 12c = 4 + 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. -6 + 12c + -7c = 4 + 7c + -7c Combine like terms: 12c + -7c = 5c -6 + 5c = 4 + 7c + -7c Combine like terms: 7c + -7c = 0 -6 + 5c = 4 + 0 -6 + 5c = 4 Add '6' to each side of the equation. -6 + 6 + 5c = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 5c = 4 + 6 5c = 4 + 6 Combine like terms: 4 + 6 = 10 5c = 10 Divide each side by '5'. c = 2 Simplifying c = 2
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