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Simplifying 6(c + -3) + 2 + 5c = 17 Reorder the terms: 6(-3 + c) + 2 + 5c = 17 (-3 * 6 + c * 6) + 2 + 5c = 17 (-18 + 6c) + 2 + 5c = 17 Reorder the terms: -18 + 2 + 6c + 5c = 17 Combine like terms: -18 + 2 = -16 -16 + 6c + 5c = 17 Combine like terms: 6c + 5c = 11c -16 + 11c = 17 Solving -16 + 11c = 17 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 11c = 17 + 16 Combine like terms: -16 + 16 = 0 0 + 11c = 17 + 16 11c = 17 + 16 Combine like terms: 17 + 16 = 33 11c = 33 Divide each side by '11'. c = 3 Simplifying c = 3
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