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Simplifying 4(c + 2) + -10 = 46 Reorder the terms: 4(2 + c) + -10 = 46 (2 * 4 + c * 4) + -10 = 46 (8 + 4c) + -10 = 46 Reorder the terms: 8 + -10 + 4c = 46 Combine like terms: 8 + -10 = -2 -2 + 4c = 46 Solving -2 + 4c = 46 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 + 4c = 46 + 2 Combine like terms: -2 + 2 = 0 0 + 4c = 46 + 2 4c = 46 + 2 Combine like terms: 46 + 2 = 48 4c = 48 Divide each side by '4'. c = 12 Simplifying c = 12
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