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Simplifying 10 + -3(2c + -5) = 2 + -1(4c + 7) Reorder the terms: 10 + -3(-5 + 2c) = 2 + -1(4c + 7) 10 + (-5 * -3 + 2c * -3) = 2 + -1(4c + 7) 10 + (15 + -6c) = 2 + -1(4c + 7) Combine like terms: 10 + 15 = 25 25 + -6c = 2 + -1(4c + 7) Reorder the terms: 25 + -6c = 2 + -1(7 + 4c) 25 + -6c = 2 + (7 * -1 + 4c * -1) 25 + -6c = 2 + (-7 + -4c) Combine like terms: 2 + -7 = -5 25 + -6c = -5 + -4c Solving 25 + -6c = -5 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. 25 + -6c + 4c = -5 + -4c + 4c Combine like terms: -6c + 4c = -2c 25 + -2c = -5 + -4c + 4c Combine like terms: -4c + 4c = 0 25 + -2c = -5 + 0 25 + -2c = -5 Add '-25' to each side of the equation. 25 + -25 + -2c = -5 + -25 Combine like terms: 25 + -25 = 0 0 + -2c = -5 + -25 -2c = -5 + -25 Combine like terms: -5 + -25 = -30 -2c = -30 Divide each side by '-2'. c = 15 Simplifying c = 15
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