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Simplifying 8(c + -4) + 4 = 2 + c + -31 Reorder the terms: 8(-4 + c) + 4 = 2 + c + -31 (-4 * 8 + c * 8) + 4 = 2 + c + -31 (-32 + 8c) + 4 = 2 + c + -31 Reorder the terms: -32 + 4 + 8c = 2 + c + -31 Combine like terms: -32 + 4 = -28 -28 + 8c = 2 + c + -31 Reorder the terms: -28 + 8c = 2 + -31 + c Combine like terms: 2 + -31 = -29 -28 + 8c = -29 + c Solving -28 + 8c = -29 + 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. -28 + 8c + -1c = -29 + c + -1c Combine like terms: 8c + -1c = 7c -28 + 7c = -29 + c + -1c Combine like terms: c + -1c = 0 -28 + 7c = -29 + 0 -28 + 7c = -29 Add '28' to each side of the equation. -28 + 28 + 7c = -29 + 28 Combine like terms: -28 + 28 = 0 0 + 7c = -29 + 28 7c = -29 + 28 Combine like terms: -29 + 28 = -1 7c = -1 Divide each side by '7'. c = -0.1428571429 Simplifying c = -0.1428571429
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