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Simplifying 36 + -2(c + -28) = -4(2c + 52) Reorder the terms: 36 + -2(-28 + c) = -4(2c + 52) 36 + (-28 * -2 + c * -2) = -4(2c + 52) 36 + (56 + -2c) = -4(2c + 52) Combine like terms: 36 + 56 = 92 92 + -2c = -4(2c + 52) Reorder the terms: 92 + -2c = -4(52 + 2c) 92 + -2c = (52 * -4 + 2c * -4) 92 + -2c = (-208 + -8c) Solving 92 + -2c = -208 + -8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8c' to each side of the equation. 92 + -2c + 8c = -208 + -8c + 8c Combine like terms: -2c + 8c = 6c 92 + 6c = -208 + -8c + 8c Combine like terms: -8c + 8c = 0 92 + 6c = -208 + 0 92 + 6c = -208 Add '-92' to each side of the equation. 92 + -92 + 6c = -208 + -92 Combine like terms: 92 + -92 = 0 0 + 6c = -208 + -92 6c = -208 + -92 Combine like terms: -208 + -92 = -300 6c = -300 Divide each side by '6'. c = -50 Simplifying c = -50
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