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Simplifying 5(2c + 1) + 4(c + 2) + -1(c + -4) = -87 Reorder the terms: 5(1 + 2c) + 4(c + 2) + -1(c + -4) = -87 (1 * 5 + 2c * 5) + 4(c + 2) + -1(c + -4) = -87 (5 + 10c) + 4(c + 2) + -1(c + -4) = -87 Reorder the terms: 5 + 10c + 4(2 + c) + -1(c + -4) = -87 5 + 10c + (2 * 4 + c * 4) + -1(c + -4) = -87 5 + 10c + (8 + 4c) + -1(c + -4) = -87 Reorder the terms: 5 + 10c + 8 + 4c + -1(-4 + c) = -87 5 + 10c + 8 + 4c + (-4 * -1 + c * -1) = -87 5 + 10c + 8 + 4c + (4 + -1c) = -87 Reorder the terms: 5 + 8 + 4 + 10c + 4c + -1c = -87 Combine like terms: 5 + 8 = 13 13 + 4 + 10c + 4c + -1c = -87 Combine like terms: 13 + 4 = 17 17 + 10c + 4c + -1c = -87 Combine like terms: 10c + 4c = 14c 17 + 14c + -1c = -87 Combine like terms: 14c + -1c = 13c 17 + 13c = -87 Solving 17 + 13c = -87 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 13c = -87 + -17 Combine like terms: 17 + -17 = 0 0 + 13c = -87 + -17 13c = -87 + -17 Combine like terms: -87 + -17 = -104 13c = -104 Divide each side by '13'. c = -8 Simplifying c = -8
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