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Simplifying -1(47 + -1c) + -2(c + -38) = 38 (47 * -1 + -1c * -1) + -2(c + -38) = 38 (-47 + 1c) + -2(c + -38) = 38 Reorder the terms: -47 + 1c + -2(-38 + c) = 38 -47 + 1c + (-38 * -2 + c * -2) = 38 -47 + 1c + (76 + -2c) = 38 Reorder the terms: -47 + 76 + 1c + -2c = 38 Combine like terms: -47 + 76 = 29 29 + 1c + -2c = 38 Combine like terms: 1c + -2c = -1c 29 + -1c = 38 Solving 29 + -1c = 38 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -1c = 38 + -29 Combine like terms: 29 + -29 = 0 0 + -1c = 38 + -29 -1c = 38 + -29 Combine like terms: 38 + -29 = 9 -1c = 9 Divide each side by '-1'. c = -9 Simplifying c = -9
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