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Simplifying (5c + 3) + (2m + 7) = 0 Reorder the terms: (3 + 5c) + (2m + 7) = 0 Remove parenthesis around (3 + 5c) 3 + 5c + (2m + 7) = 0 Reorder the terms: 3 + 5c + (7 + 2m) = 0 Remove parenthesis around (7 + 2m) 3 + 5c + 7 + 2m = 0 Reorder the terms: 3 + 7 + 5c + 2m = 0 Combine like terms: 3 + 7 = 10 10 + 5c + 2m = 0 Solving 10 + 5c + 2m = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 5c + -10 + 2m = 0 + -10 Reorder the terms: 10 + -10 + 5c + 2m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5c + 2m = 0 + -10 5c + 2m = 0 + -10 Combine like terms: 0 + -10 = -10 5c + 2m = -10 Add '-2m' to each side of the equation. 5c + 2m + -2m = -10 + -2m Combine like terms: 2m + -2m = 0 5c + 0 = -10 + -2m 5c = -10 + -2m Divide each side by '5'. c = -2 + -0.4m Simplifying c = -2 + -0.4m
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