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Simplifying 19(8c + -1) + -2 = 150c + 19 Reorder the terms: 19(-1 + 8c) + -2 = 150c + 19 (-1 * 19 + 8c * 19) + -2 = 150c + 19 (-19 + 152c) + -2 = 150c + 19 Reorder the terms: -19 + -2 + 152c = 150c + 19 Combine like terms: -19 + -2 = -21 -21 + 152c = 150c + 19 Reorder the terms: -21 + 152c = 19 + 150c Solving -21 + 152c = 19 + 150c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-150c' to each side of the equation. -21 + 152c + -150c = 19 + 150c + -150c Combine like terms: 152c + -150c = 2c -21 + 2c = 19 + 150c + -150c Combine like terms: 150c + -150c = 0 -21 + 2c = 19 + 0 -21 + 2c = 19 Add '21' to each side of the equation. -21 + 21 + 2c = 19 + 21 Combine like terms: -21 + 21 = 0 0 + 2c = 19 + 21 2c = 19 + 21 Combine like terms: 19 + 21 = 40 2c = 40 Divide each side by '2'. c = 20 Simplifying c = 20
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