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Simplifying 33 + -1(2c + 3) = 2(c + 5) + 6 Reorder the terms: 33 + -1(3 + 2c) = 2(c + 5) + 6 33 + (3 * -1 + 2c * -1) = 2(c + 5) + 6 33 + (-3 + -2c) = 2(c + 5) + 6 Combine like terms: 33 + -3 = 30 30 + -2c = 2(c + 5) + 6 Reorder the terms: 30 + -2c = 2(5 + c) + 6 30 + -2c = (5 * 2 + c * 2) + 6 30 + -2c = (10 + 2c) + 6 Reorder the terms: 30 + -2c = 10 + 6 + 2c Combine like terms: 10 + 6 = 16 30 + -2c = 16 + 2c Solving 30 + -2c = 16 + 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. 30 + -2c + -2c = 16 + 2c + -2c Combine like terms: -2c + -2c = -4c 30 + -4c = 16 + 2c + -2c Combine like terms: 2c + -2c = 0 30 + -4c = 16 + 0 30 + -4c = 16 Add '-30' to each side of the equation. 30 + -30 + -4c = 16 + -30 Combine like terms: 30 + -30 = 0 0 + -4c = 16 + -30 -4c = 16 + -30 Combine like terms: 16 + -30 = -14 -4c = -14 Divide each side by '-4'. c = 3.5 Simplifying c = 3.5
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