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Simplifying 1 + -1(m + 2c) = (20 + -4) * m + 8c Reorder the terms: 1 + -1(2c + m) = (20 + -4) * m + 8c 1 + (2c * -1 + m * -1) = (20 + -4) * m + 8c 1 + (-2c + -1m) = (20 + -4) * m + 8c Combine like terms: 20 + -4 = 16 1 + -2c + -1m = (16) * m + 8c Reorder the terms: 1 + -2c + -1m = 8c + 16m Solving 1 + -2c + -1m = 8c + 16m Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 1 + -2c + -8c + -1m = 8c + -8c + 16m Combine like terms: -2c + -8c = -10c 1 + -10c + -1m = 8c + -8c + 16m Combine like terms: 8c + -8c = 0 1 + -10c + -1m = 0 + 16m 1 + -10c + -1m = 16m Add '-1' to each side of the equation. 1 + -10c + -1 + -1m = -1 + 16m Reorder the terms: 1 + -1 + -10c + -1m = -1 + 16m Combine like terms: 1 + -1 = 0 0 + -10c + -1m = -1 + 16m -10c + -1m = -1 + 16m Add 'm' to each side of the equation. -10c + -1m + m = -1 + 16m + m Combine like terms: -1m + m = 0 -10c + 0 = -1 + 16m + m -10c = -1 + 16m + m Combine like terms: 16m + m = 17m -10c = -1 + 17m Divide each side by '-10'. c = 0.1 + -1.7m Simplifying c = 0.1 + -1.7m
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