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Simplifying 7(2c + -3) + -2(c + 5) = 0 Reorder the terms: 7(-3 + 2c) + -2(c + 5) = 0 (-3 * 7 + 2c * 7) + -2(c + 5) = 0 (-21 + 14c) + -2(c + 5) = 0 Reorder the terms: -21 + 14c + -2(5 + c) = 0 -21 + 14c + (5 * -2 + c * -2) = 0 -21 + 14c + (-10 + -2c) = 0 Reorder the terms: -21 + -10 + 14c + -2c = 0 Combine like terms: -21 + -10 = -31 -31 + 14c + -2c = 0 Combine like terms: 14c + -2c = 12c -31 + 12c = 0 Solving -31 + 12c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 12c = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 12c = 0 + 31 12c = 0 + 31 Combine like terms: 0 + 31 = 31 12c = 31 Divide each side by '12'. c = 2.583333333 Simplifying c = 2.583333333
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