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Simplifying 5(2 + 2c) = 6(3c + -2c) (2 * 5 + 2c * 5) = 6(3c + -2c) (10 + 10c) = 6(3c + -2c) Combine like terms: 3c + -2c = 1c 10 + 10c = 6(1c) Remove parenthesis around (1c) 10 + 10c = 6 * 1c Multiply 6 * 1 10 + 10c = 6c Solving 10 + 10c = 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. 10 + 10c + -6c = 6c + -6c Combine like terms: 10c + -6c = 4c 10 + 4c = 6c + -6c Combine like terms: 6c + -6c = 0 10 + 4c = 0 Add '-10' to each side of the equation. 10 + -10 + 4c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4c = 0 + -10 4c = 0 + -10 Combine like terms: 0 + -10 = -10 4c = -10 Divide each side by '4'. c = -2.5 Simplifying c = -2.5
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