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Simplifying -2(-7c + -19) = 2c + -10 + 18c Reorder the terms: -2(-19 + -7c) = 2c + -10 + 18c (-19 * -2 + -7c * -2) = 2c + -10 + 18c (38 + 14c) = 2c + -10 + 18c Reorder the terms: 38 + 14c = -10 + 2c + 18c Combine like terms: 2c + 18c = 20c 38 + 14c = -10 + 20c Solving 38 + 14c = -10 + 20c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20c' to each side of the equation. 38 + 14c + -20c = -10 + 20c + -20c Combine like terms: 14c + -20c = -6c 38 + -6c = -10 + 20c + -20c Combine like terms: 20c + -20c = 0 38 + -6c = -10 + 0 38 + -6c = -10 Add '-38' to each side of the equation. 38 + -38 + -6c = -10 + -38 Combine like terms: 38 + -38 = 0 0 + -6c = -10 + -38 -6c = -10 + -38 Combine like terms: -10 + -38 = -48 -6c = -48 Divide each side by '-6'. c = 8 Simplifying c = 8
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