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Simplifying -6(5c + 16) = 2c Reorder the terms: -6(16 + 5c) = 2c (16 * -6 + 5c * -6) = 2c (-96 + -30c) = 2c Solving -96 + -30c = 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. -96 + -30c + -2c = 2c + -2c Combine like terms: -30c + -2c = -32c -96 + -32c = 2c + -2c Combine like terms: 2c + -2c = 0 -96 + -32c = 0 Add '96' to each side of the equation. -96 + 96 + -32c = 0 + 96 Combine like terms: -96 + 96 = 0 0 + -32c = 0 + 96 -32c = 0 + 96 Combine like terms: 0 + 96 = 96 -32c = 96 Divide each side by '-32'. c = -3 Simplifying c = -3
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