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Simplifying -2(c + 19) = -52 Reorder the terms: -2(19 + c) = -52 (19 * -2 + c * -2) = -52 (-38 + -2c) = -52 Solving -38 + -2c = -52 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -2c = -52 + 38 Combine like terms: -38 + 38 = 0 0 + -2c = -52 + 38 -2c = -52 + 38 Combine like terms: -52 + 38 = -14 -2c = -14 Divide each side by '-2'. c = 7 Simplifying c = 7
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