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Simplifying 4(5c + -2) + -1 = 10c + 1 Reorder the terms: 4(-2 + 5c) + -1 = 10c + 1 (-2 * 4 + 5c * 4) + -1 = 10c + 1 (-8 + 20c) + -1 = 10c + 1 Reorder the terms: -8 + -1 + 20c = 10c + 1 Combine like terms: -8 + -1 = -9 -9 + 20c = 10c + 1 Reorder the terms: -9 + 20c = 1 + 10c Solving -9 + 20c = 1 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -9 + 20c + -10c = 1 + 10c + -10c Combine like terms: 20c + -10c = 10c -9 + 10c = 1 + 10c + -10c Combine like terms: 10c + -10c = 0 -9 + 10c = 1 + 0 -9 + 10c = 1 Add '9' to each side of the equation. -9 + 9 + 10c = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 10c = 1 + 9 10c = 1 + 9 Combine like terms: 1 + 9 = 10 10c = 10 Divide each side by '10'. c = 1 Simplifying c = 1
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