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Simplifying 5(2 + 2c) = 6(3c + -2) (2 * 5 + 2c * 5) = 6(3c + -2) (10 + 10c) = 6(3c + -2) Reorder the terms: 10 + 10c = 6(-2 + 3c) 10 + 10c = (-2 * 6 + 3c * 6) 10 + 10c = (-12 + 18c) Solving 10 + 10c = -12 + 18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18c' to each side of the equation. 10 + 10c + -18c = -12 + 18c + -18c Combine like terms: 10c + -18c = -8c 10 + -8c = -12 + 18c + -18c Combine like terms: 18c + -18c = 0 10 + -8c = -12 + 0 10 + -8c = -12 Add '-10' to each side of the equation. 10 + -10 + -8c = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -8c = -12 + -10 -8c = -12 + -10 Combine like terms: -12 + -10 = -22 -8c = -22 Divide each side by '-8'. c = 2.75 Simplifying c = 2.75
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