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Simplifying -6c + -1(4c + -2) + -1(8c + 9) = -187 Reorder the terms: -6c + -1(-2 + 4c) + -1(8c + 9) = -187 -6c + (-2 * -1 + 4c * -1) + -1(8c + 9) = -187 -6c + (2 + -4c) + -1(8c + 9) = -187 Reorder the terms: -6c + 2 + -4c + -1(9 + 8c) = -187 -6c + 2 + -4c + (9 * -1 + 8c * -1) = -187 -6c + 2 + -4c + (-9 + -8c) = -187 Reorder the terms: 2 + -9 + -6c + -4c + -8c = -187 Combine like terms: 2 + -9 = -7 -7 + -6c + -4c + -8c = -187 Combine like terms: -6c + -4c = -10c -7 + -10c + -8c = -187 Combine like terms: -10c + -8c = -18c -7 + -18c = -187 Solving -7 + -18c = -187 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -18c = -187 + 7 Combine like terms: -7 + 7 = 0 0 + -18c = -187 + 7 -18c = -187 + 7 Combine like terms: -187 + 7 = -180 -18c = -180 Divide each side by '-18'. c = 10 Simplifying c = 10
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