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Simplifying 25 + -1(2c + 3) = 2(c + 6) + 6 Reorder the terms: 25 + -1(3 + 2c) = 2(c + 6) + 6 25 + (3 * -1 + 2c * -1) = 2(c + 6) + 6 25 + (-3 + -2c) = 2(c + 6) + 6 Combine like terms: 25 + -3 = 22 22 + -2c = 2(c + 6) + 6 Reorder the terms: 22 + -2c = 2(6 + c) + 6 22 + -2c = (6 * 2 + c * 2) + 6 22 + -2c = (12 + 2c) + 6 Reorder the terms: 22 + -2c = 12 + 6 + 2c Combine like terms: 12 + 6 = 18 22 + -2c = 18 + 2c Solving 22 + -2c = 18 + 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. 22 + -2c + -2c = 18 + 2c + -2c Combine like terms: -2c + -2c = -4c 22 + -4c = 18 + 2c + -2c Combine like terms: 2c + -2c = 0 22 + -4c = 18 + 0 22 + -4c = 18 Add '-22' to each side of the equation. 22 + -22 + -4c = 18 + -22 Combine like terms: 22 + -22 = 0 0 + -4c = 18 + -22 -4c = 18 + -22 Combine like terms: 18 + -22 = -4 -4c = -4 Divide each side by '-4'. c = 1 Simplifying c = 1
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