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Simplifying -5c + -1(1 + -1c) + 2(4c + -1) = c + -1(5c + -2) -5c + (1 * -1 + -1c * -1) + 2(4c + -1) = c + -1(5c + -2) -5c + (-1 + 1c) + 2(4c + -1) = c + -1(5c + -2) Reorder the terms: -5c + -1 + 1c + 2(-1 + 4c) = c + -1(5c + -2) -5c + -1 + 1c + (-1 * 2 + 4c * 2) = c + -1(5c + -2) -5c + -1 + 1c + (-2 + 8c) = c + -1(5c + -2) Reorder the terms: -1 + -2 + -5c + 1c + 8c = c + -1(5c + -2) Combine like terms: -1 + -2 = -3 -3 + -5c + 1c + 8c = c + -1(5c + -2) Combine like terms: -5c + 1c = -4c -3 + -4c + 8c = c + -1(5c + -2) Combine like terms: -4c + 8c = 4c -3 + 4c = c + -1(5c + -2) Reorder the terms: -3 + 4c = c + -1(-2 + 5c) -3 + 4c = c + (-2 * -1 + 5c * -1) -3 + 4c = c + (2 + -5c) Reorder the terms: -3 + 4c = 2 + c + -5c Combine like terms: c + -5c = -4c -3 + 4c = 2 + -4c Solving -3 + 4c = 2 + -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. -3 + 4c + 4c = 2 + -4c + 4c Combine like terms: 4c + 4c = 8c -3 + 8c = 2 + -4c + 4c Combine like terms: -4c + 4c = 0 -3 + 8c = 2 + 0 -3 + 8c = 2 Add '3' to each side of the equation. -3 + 3 + 8c = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 8c = 2 + 3 8c = 2 + 3 Combine like terms: 2 + 3 = 5 8c = 5 Divide each side by '8'. c = 0.625 Simplifying c = 0.625
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