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Simplifying 14(8c + -3) = 6c + -8 Reorder the terms: 14(-3 + 8c) = 6c + -8 (-3 * 14 + 8c * 14) = 6c + -8 (-42 + 112c) = 6c + -8 Reorder the terms: -42 + 112c = -8 + 6c Solving -42 + 112c = -8 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -42 + 112c + -6c = -8 + 6c + -6c Combine like terms: 112c + -6c = 106c -42 + 106c = -8 + 6c + -6c Combine like terms: 6c + -6c = 0 -42 + 106c = -8 + 0 -42 + 106c = -8 Add '42' to each side of the equation. -42 + 42 + 106c = -8 + 42 Combine like terms: -42 + 42 = 0 0 + 106c = -8 + 42 106c = -8 + 42 Combine like terms: -8 + 42 = 34 106c = 34 Divide each side by '106'. c = 0.320754717 Simplifying c = 0.320754717
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