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Simplifying 18(6c + -1) + -10 = 106 + 18 Reorder the terms: 18(-1 + 6c) + -10 = 106 + 18 (-1 * 18 + 6c * 18) + -10 = 106 + 18 (-18 + 108c) + -10 = 106 + 18 Reorder the terms: -18 + -10 + 108c = 106 + 18 Combine like terms: -18 + -10 = -28 -28 + 108c = 106 + 18 Combine like terms: 106 + 18 = 124 -28 + 108c = 124 Solving -28 + 108c = 124 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 108c = 124 + 28 Combine like terms: -28 + 28 = 0 0 + 108c = 124 + 28 108c = 124 + 28 Combine like terms: 124 + 28 = 152 108c = 152 Divide each side by '108'. c = 1.407407407 Simplifying c = 1.407407407
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