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Simplifying 14(9c + -3) = 8c + -7 Reorder the terms: 14(-3 + 9c) = 8c + -7 (-3 * 14 + 9c * 14) = 8c + -7 (-42 + 126c) = 8c + -7 Reorder the terms: -42 + 126c = -7 + 8c Solving -42 + 126c = -7 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -42 + 126c + -8c = -7 + 8c + -8c Combine like terms: 126c + -8c = 118c -42 + 118c = -7 + 8c + -8c Combine like terms: 8c + -8c = 0 -42 + 118c = -7 + 0 -42 + 118c = -7 Add '42' to each side of the equation. -42 + 42 + 118c = -7 + 42 Combine like terms: -42 + 42 = 0 0 + 118c = -7 + 42 118c = -7 + 42 Combine like terms: -7 + 42 = 35 118c = 35 Divide each side by '118'. c = 0.2966101695 Simplifying c = 0.2966101695
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