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Simplifying 5 + -1(9 + 2c) = 12 + 6(c + -6) 5 + (9 * -1 + 2c * -1) = 12 + 6(c + -6) 5 + (-9 + -2c) = 12 + 6(c + -6) Combine like terms: 5 + -9 = -4 -4 + -2c = 12 + 6(c + -6) Reorder the terms: -4 + -2c = 12 + 6(-6 + c) -4 + -2c = 12 + (-6 * 6 + c * 6) -4 + -2c = 12 + (-36 + 6c) Combine like terms: 12 + -36 = -24 -4 + -2c = -24 + 6c Solving -4 + -2c = -24 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -4 + -2c + -6c = -24 + 6c + -6c Combine like terms: -2c + -6c = -8c -4 + -8c = -24 + 6c + -6c Combine like terms: 6c + -6c = 0 -4 + -8c = -24 + 0 -4 + -8c = -24 Add '4' to each side of the equation. -4 + 4 + -8c = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -8c = -24 + 4 -8c = -24 + 4 Combine like terms: -24 + 4 = -20 -8c = -20 Divide each side by '-8'. c = 2.5 Simplifying c = 2.5
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