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Simplifying -1(6c + -5) = 4(7c + -8) + 3 Reorder the terms: -1(-5 + 6c) = 4(7c + -8) + 3 (-5 * -1 + 6c * -1) = 4(7c + -8) + 3 (5 + -6c) = 4(7c + -8) + 3 Reorder the terms: 5 + -6c = 4(-8 + 7c) + 3 5 + -6c = (-8 * 4 + 7c * 4) + 3 5 + -6c = (-32 + 28c) + 3 Reorder the terms: 5 + -6c = -32 + 3 + 28c Combine like terms: -32 + 3 = -29 5 + -6c = -29 + 28c Solving 5 + -6c = -29 + 28c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-28c' to each side of the equation. 5 + -6c + -28c = -29 + 28c + -28c Combine like terms: -6c + -28c = -34c 5 + -34c = -29 + 28c + -28c Combine like terms: 28c + -28c = 0 5 + -34c = -29 + 0 5 + -34c = -29 Add '-5' to each side of the equation. 5 + -5 + -34c = -29 + -5 Combine like terms: 5 + -5 = 0 0 + -34c = -29 + -5 -34c = -29 + -5 Combine like terms: -29 + -5 = -34 -34c = -34 Divide each side by '-34'. c = 1 Simplifying c = 1
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