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Simplifying 2 * 42 + -5c = 1 + -1c(42 + 2) Multiply 2 * 42 84 + -5c = 1 + -1c(42 + 2) Combine like terms: 42 + 2 = 44 84 + -5c = 1 + -1c(44) Reorder the terms for easier multiplication: 84 + -5c = 1 + -1 * 44c Multiply -1 * 44 84 + -5c = 1 + -44c Solving 84 + -5c = 1 + -44c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '44c' to each side of the equation. 84 + -5c + 44c = 1 + -44c + 44c Combine like terms: -5c + 44c = 39c 84 + 39c = 1 + -44c + 44c Combine like terms: -44c + 44c = 0 84 + 39c = 1 + 0 84 + 39c = 1 Add '-84' to each side of the equation. 84 + -84 + 39c = 1 + -84 Combine like terms: 84 + -84 = 0 0 + 39c = 1 + -84 39c = 1 + -84 Combine like terms: 1 + -84 = -83 39c = -83 Divide each side by '39'. c = -2.128205128 Simplifying c = -2.128205128
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