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Simplifying 5[c + -2] = 2[c + 1] Reorder the terms: 5[-2 + c] = 2[c + 1] [-2 * 5 + c * 5] = 2[c + 1] [-10 + 5c] = 2[c + 1] Reorder the terms: -10 + 5c = 2[1 + c] -10 + 5c = [1 * 2 + c * 2] -10 + 5c = [2 + 2c] Solving -10 + 5c = 2 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -10 + 5c + -2c = 2 + 2c + -2c Combine like terms: 5c + -2c = 3c -10 + 3c = 2 + 2c + -2c Combine like terms: 2c + -2c = 0 -10 + 3c = 2 + 0 -10 + 3c = 2 Add '10' to each side of the equation. -10 + 10 + 3c = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 3c = 2 + 10 3c = 2 + 10 Combine like terms: 2 + 10 = 12 3c = 12 Divide each side by '3'. c = 4 Simplifying c = 4
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