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Simplifying 56 + -1(2c + 4) = 4(4 + 6) + c Reorder the terms: 56 + -1(4 + 2c) = 4(4 + 6) + c 56 + (4 * -1 + 2c * -1) = 4(4 + 6) + c 56 + (-4 + -2c) = 4(4 + 6) + c Combine like terms: 56 + -4 = 52 52 + -2c = 4(4 + 6) + c Combine like terms: 4 + 6 = 10 52 + -2c = 4(10) + c Multiply 4 * 10 52 + -2c = 40 + c Solving 52 + -2c = 40 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 52 + -2c + -1c = 40 + c + -1c Combine like terms: -2c + -1c = -3c 52 + -3c = 40 + c + -1c Combine like terms: c + -1c = 0 52 + -3c = 40 + 0 52 + -3c = 40 Add '-52' to each side of the equation. 52 + -52 + -3c = 40 + -52 Combine like terms: 52 + -52 = 0 0 + -3c = 40 + -52 -3c = 40 + -52 Combine like terms: 40 + -52 = -12 -3c = -12 Divide each side by '-3'. c = 4 Simplifying c = 4
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