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Simplifying 13(6c + -1) + -2 = 76 + 13 Reorder the terms: 13(-1 + 6c) + -2 = 76 + 13 (-1 * 13 + 6c * 13) + -2 = 76 + 13 (-13 + 78c) + -2 = 76 + 13 Reorder the terms: -13 + -2 + 78c = 76 + 13 Combine like terms: -13 + -2 = -15 -15 + 78c = 76 + 13 Combine like terms: 76 + 13 = 89 -15 + 78c = 89 Solving -15 + 78c = 89 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 78c = 89 + 15 Combine like terms: -15 + 15 = 0 0 + 78c = 89 + 15 78c = 89 + 15 Combine like terms: 89 + 15 = 104 78c = 104 Divide each side by '78'. c = 1.333333333 Simplifying c = 1.333333333
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