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Simplifying 5(2c + -2) + -4 = 6c + 7 Reorder the terms: 5(-2 + 2c) + -4 = 6c + 7 (-2 * 5 + 2c * 5) + -4 = 6c + 7 (-10 + 10c) + -4 = 6c + 7 Reorder the terms: -10 + -4 + 10c = 6c + 7 Combine like terms: -10 + -4 = -14 -14 + 10c = 6c + 7 Reorder the terms: -14 + 10c = 7 + 6c Solving -14 + 10c = 7 + 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. -14 + 10c + -6c = 7 + 6c + -6c Combine like terms: 10c + -6c = 4c -14 + 4c = 7 + 6c + -6c Combine like terms: 6c + -6c = 0 -14 + 4c = 7 + 0 -14 + 4c = 7 Add '14' to each side of the equation. -14 + 14 + 4c = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 4c = 7 + 14 4c = 7 + 14 Combine like terms: 7 + 14 = 21 4c = 21 Divide each side by '4'. c = 5.25 Simplifying c = 5.25
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