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Simplifying 3c + -1(7c + -25) = 2c + 19 Reorder the terms: 3c + -1(-25 + 7c) = 2c + 19 3c + (-25 * -1 + 7c * -1) = 2c + 19 3c + (25 + -7c) = 2c + 19 Reorder the terms: 25 + 3c + -7c = 2c + 19 Combine like terms: 3c + -7c = -4c 25 + -4c = 2c + 19 Reorder the terms: 25 + -4c = 19 + 2c Solving 25 + -4c = 19 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 25 + -4c + -2c = 19 + 2c + -2c Combine like terms: -4c + -2c = -6c 25 + -6c = 19 + 2c + -2c Combine like terms: 2c + -2c = 0 25 + -6c = 19 + 0 25 + -6c = 19 Add '-25' to each side of the equation. 25 + -25 + -6c = 19 + -25 Combine like terms: 25 + -25 = 0 0 + -6c = 19 + -25 -6c = 19 + -25 Combine like terms: 19 + -25 = -6 -6c = -6 Divide each side by '-6'. c = 1 Simplifying c = 1
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