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Simplifying 4(3c + -1) + -3 = 10 + 7 Reorder the terms: 4(-1 + 3c) + -3 = 10 + 7 (-1 * 4 + 3c * 4) + -3 = 10 + 7 (-4 + 12c) + -3 = 10 + 7 Reorder the terms: -4 + -3 + 12c = 10 + 7 Combine like terms: -4 + -3 = -7 -7 + 12c = 10 + 7 Combine like terms: 10 + 7 = 17 -7 + 12c = 17 Solving -7 + 12c = 17 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 12c = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 12c = 17 + 7 12c = 17 + 7 Combine like terms: 17 + 7 = 24 12c = 24 Divide each side by '12'. c = 2 Simplifying c = 2
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