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Simplifying (2m + 1) + (5c + 7) = 0 Reorder the terms: (1 + 2m) + (5c + 7) = 0 Remove parenthesis around (1 + 2m) 1 + 2m + (5c + 7) = 0 Reorder the terms: 1 + 2m + (7 + 5c) = 0 Remove parenthesis around (7 + 5c) 1 + 2m + 7 + 5c = 0 Reorder the terms: 1 + 7 + 5c + 2m = 0 Combine like terms: 1 + 7 = 8 8 + 5c + 2m = 0 Solving 8 + 5c + 2m = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 5c + -8 + 2m = 0 + -8 Reorder the terms: 8 + -8 + 5c + 2m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5c + 2m = 0 + -8 5c + 2m = 0 + -8 Combine like terms: 0 + -8 = -8 5c + 2m = -8 Add '-2m' to each side of the equation. 5c + 2m + -2m = -8 + -2m Combine like terms: 2m + -2m = 0 5c + 0 = -8 + -2m 5c = -8 + -2m Divide each side by '5'. c = -1.6 + -0.4m Simplifying c = -1.6 + -0.4m
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