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Simplifying 56 + -1(3c + 4) = 4(c + 7) + 3 Reorder the terms: 56 + -1(4 + 3c) = 4(c + 7) + 3 56 + (4 * -1 + 3c * -1) = 4(c + 7) + 3 56 + (-4 + -3c) = 4(c + 7) + 3 Combine like terms: 56 + -4 = 52 52 + -3c = 4(c + 7) + 3 Reorder the terms: 52 + -3c = 4(7 + c) + 3 52 + -3c = (7 * 4 + c * 4) + 3 52 + -3c = (28 + 4c) + 3 Reorder the terms: 52 + -3c = 28 + 3 + 4c Combine like terms: 28 + 3 = 31 52 + -3c = 31 + 4c Solving 52 + -3c = 31 + 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. 52 + -3c + -4c = 31 + 4c + -4c Combine like terms: -3c + -4c = -7c 52 + -7c = 31 + 4c + -4c Combine like terms: 4c + -4c = 0 52 + -7c = 31 + 0 52 + -7c = 31 Add '-52' to each side of the equation. 52 + -52 + -7c = 31 + -52 Combine like terms: 52 + -52 = 0 0 + -7c = 31 + -52 -7c = 31 + -52 Combine like terms: 31 + -52 = -21 -7c = -21 Divide each side by '-7'. c = 3 Simplifying c = 3
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