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Simplifying 6(c + -9) + 12 = 48 Reorder the terms: 6(-9 + c) + 12 = 48 (-9 * 6 + c * 6) + 12 = 48 (-54 + 6c) + 12 = 48 Reorder the terms: -54 + 12 + 6c = 48 Combine like terms: -54 + 12 = -42 -42 + 6c = 48 Solving -42 + 6c = 48 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 6c = 48 + 42 Combine like terms: -42 + 42 = 0 0 + 6c = 48 + 42 6c = 48 + 42 Combine like terms: 48 + 42 = 90 6c = 90 Divide each side by '6'. c = 15 Simplifying c = 15
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