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Simplifying 5c + -2(4c + -9) = 5 + 5(to + -1c) Reorder the terms: 5c + -2(-9 + 4c) = 5 + 5(to + -1c) 5c + (-9 * -2 + 4c * -2) = 5 + 5(to + -1c) 5c + (18 + -8c) = 5 + 5(to + -1c) Reorder the terms: 18 + 5c + -8c = 5 + 5(to + -1c) Combine like terms: 5c + -8c = -3c 18 + -3c = 5 + 5(to + -1c) Reorder the terms: 18 + -3c = 5 + 5(-1c + ot) 18 + -3c = 5 + (-1c * 5 + ot * 5) 18 + -3c = 5 + (-5c + 5ot) Solving 18 + -3c = 5 + -5c + 5ot Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. 18 + -3c + 5c = 5 + -5c + 5c + 5ot Combine like terms: -3c + 5c = 2c 18 + 2c = 5 + -5c + 5c + 5ot Combine like terms: -5c + 5c = 0 18 + 2c = 5 + 0 + 5ot 18 + 2c = 5 + 5ot Add '-18' to each side of the equation. 18 + -18 + 2c = 5 + -18 + 5ot Combine like terms: 18 + -18 = 0 0 + 2c = 5 + -18 + 5ot 2c = 5 + -18 + 5ot Combine like terms: 5 + -18 = -13 2c = -13 + 5ot Divide each side by '2'. c = -6.5 + 2.5ot Simplifying c = -6.5 + 2.5ot
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