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Simplifying -2(5 + 6c) = -90 + -2c (5 * -2 + 6c * -2) = -90 + -2c (-10 + -12c) = -90 + -2c Solving -10 + -12c = -90 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. -10 + -12c + 2c = -90 + -2c + 2c Combine like terms: -12c + 2c = -10c -10 + -10c = -90 + -2c + 2c Combine like terms: -2c + 2c = 0 -10 + -10c = -90 + 0 -10 + -10c = -90 Add '10' to each side of the equation. -10 + 10 + -10c = -90 + 10 Combine like terms: -10 + 10 = 0 0 + -10c = -90 + 10 -10c = -90 + 10 Combine like terms: -90 + 10 = -80 -10c = -80 Divide each side by '-10'. c = 8 Simplifying c = 8
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