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Simplifying 14(7c + -3) = 8c + -2 Reorder the terms: 14(-3 + 7c) = 8c + -2 (-3 * 14 + 7c * 14) = 8c + -2 (-42 + 98c) = 8c + -2 Reorder the terms: -42 + 98c = -2 + 8c Solving -42 + 98c = -2 + 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 + 98c + -8c = -2 + 8c + -8c Combine like terms: 98c + -8c = 90c -42 + 90c = -2 + 8c + -8c Combine like terms: 8c + -8c = 0 -42 + 90c = -2 + 0 -42 + 90c = -2 Add '42' to each side of the equation. -42 + 42 + 90c = -2 + 42 Combine like terms: -42 + 42 = 0 0 + 90c = -2 + 42 90c = -2 + 42 Combine like terms: -2 + 42 = 40 90c = 40 Divide each side by '90'. c = 0.4444444444 Simplifying c = 0.4444444444
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