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Simplifying 3(4c + -1) + -7 = 4c + 6 Reorder the terms: 3(-1 + 4c) + -7 = 4c + 6 (-1 * 3 + 4c * 3) + -7 = 4c + 6 (-3 + 12c) + -7 = 4c + 6 Reorder the terms: -3 + -7 + 12c = 4c + 6 Combine like terms: -3 + -7 = -10 -10 + 12c = 4c + 6 Reorder the terms: -10 + 12c = 6 + 4c Solving -10 + 12c = 6 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -10 + 12c + -4c = 6 + 4c + -4c Combine like terms: 12c + -4c = 8c -10 + 8c = 6 + 4c + -4c Combine like terms: 4c + -4c = 0 -10 + 8c = 6 + 0 -10 + 8c = 6 Add '10' to each side of the equation. -10 + 10 + 8c = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 8c = 6 + 10 8c = 6 + 10 Combine like terms: 6 + 10 = 16 8c = 16 Divide each side by '8'. c = 2 Simplifying c = 2
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