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Simplifying 17c + 4 + -9c = 6(-2c + -16) Reorder the terms: 4 + 17c + -9c = 6(-2c + -16) Combine like terms: 17c + -9c = 8c 4 + 8c = 6(-2c + -16) Reorder the terms: 4 + 8c = 6(-16 + -2c) 4 + 8c = (-16 * 6 + -2c * 6) 4 + 8c = (-96 + -12c) Solving 4 + 8c = -96 + -12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '12c' to each side of the equation. 4 + 8c + 12c = -96 + -12c + 12c Combine like terms: 8c + 12c = 20c 4 + 20c = -96 + -12c + 12c Combine like terms: -12c + 12c = 0 4 + 20c = -96 + 0 4 + 20c = -96 Add '-4' to each side of the equation. 4 + -4 + 20c = -96 + -4 Combine like terms: 4 + -4 = 0 0 + 20c = -96 + -4 20c = -96 + -4 Combine like terms: -96 + -4 = -100 20c = -100 Divide each side by '20'. c = -5 Simplifying c = -5
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