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Simplifying 3(3c + 2) + -8(c + 1) = 7 Reorder the terms: 3(2 + 3c) + -8(c + 1) = 7 (2 * 3 + 3c * 3) + -8(c + 1) = 7 (6 + 9c) + -8(c + 1) = 7 Reorder the terms: 6 + 9c + -8(1 + c) = 7 6 + 9c + (1 * -8 + c * -8) = 7 6 + 9c + (-8 + -8c) = 7 Reorder the terms: 6 + -8 + 9c + -8c = 7 Combine like terms: 6 + -8 = -2 -2 + 9c + -8c = 7 Combine like terms: 9c + -8c = 1c -2 + 1c = 7 Solving -2 + 1c = 7 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1c = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 1c = 7 + 2 1c = 7 + 2 Combine like terms: 7 + 2 = 9 1c = 9 Divide each side by '1'. c = 9 Simplifying c = 9
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