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Simplifying 5(2c + -2) = 2(3c + -7) Reorder the terms: 5(-2 + 2c) = 2(3c + -7) (-2 * 5 + 2c * 5) = 2(3c + -7) (-10 + 10c) = 2(3c + -7) Reorder the terms: -10 + 10c = 2(-7 + 3c) -10 + 10c = (-7 * 2 + 3c * 2) -10 + 10c = (-14 + 6c) Solving -10 + 10c = -14 + 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 = -14 + 6c + -6c Combine like terms: 10c + -6c = 4c -10 + 4c = -14 + 6c + -6c Combine like terms: 6c + -6c = 0 -10 + 4c = -14 + 0 -10 + 4c = -14 Add '10' to each side of the equation. -10 + 10 + 4c = -14 + 10 Combine like terms: -10 + 10 = 0 0 + 4c = -14 + 10 4c = -14 + 10 Combine like terms: -14 + 10 = -4 4c = -4 Divide each side by '4'. c = -1 Simplifying c = -1
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