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Simplifying 2 = 10c + -4(2x + -9) Reorder the terms: 2 = 10c + -4(-9 + 2x) 2 = 10c + (-9 * -4 + 2x * -4) 2 = 10c + (36 + -8x) Reorder the terms: 2 = 36 + 10c + -8x Solving 2 = 36 + 10c + -8x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. 2 + -10c = 36 + 10c + -10c + -8x Combine like terms: 10c + -10c = 0 2 + -10c = 36 + 0 + -8x 2 + -10c = 36 + -8x Add '-2' to each side of the equation. 2 + -2 + -10c = 36 + -2 + -8x Combine like terms: 2 + -2 = 0 0 + -10c = 36 + -2 + -8x -10c = 36 + -2 + -8x Combine like terms: 36 + -2 = 34 -10c = 34 + -8x Divide each side by '-10'. c = -3.4 + 0.8x Simplifying c = -3.4 + 0.8x
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