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Simplifying 11(2c + -3) + -4(3c + -2) = 4(-2c + 1) + 7 Reorder the terms: 11(-3 + 2c) + -4(3c + -2) = 4(-2c + 1) + 7 (-3 * 11 + 2c * 11) + -4(3c + -2) = 4(-2c + 1) + 7 (-33 + 22c) + -4(3c + -2) = 4(-2c + 1) + 7 Reorder the terms: -33 + 22c + -4(-2 + 3c) = 4(-2c + 1) + 7 -33 + 22c + (-2 * -4 + 3c * -4) = 4(-2c + 1) + 7 -33 + 22c + (8 + -12c) = 4(-2c + 1) + 7 Reorder the terms: -33 + 8 + 22c + -12c = 4(-2c + 1) + 7 Combine like terms: -33 + 8 = -25 -25 + 22c + -12c = 4(-2c + 1) + 7 Combine like terms: 22c + -12c = 10c -25 + 10c = 4(-2c + 1) + 7 Reorder the terms: -25 + 10c = 4(1 + -2c) + 7 -25 + 10c = (1 * 4 + -2c * 4) + 7 -25 + 10c = (4 + -8c) + 7 Reorder the terms: -25 + 10c = 4 + 7 + -8c Combine like terms: 4 + 7 = 11 -25 + 10c = 11 + -8c Solving -25 + 10c = 11 + -8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8c' to each side of the equation. -25 + 10c + 8c = 11 + -8c + 8c Combine like terms: 10c + 8c = 18c -25 + 18c = 11 + -8c + 8c Combine like terms: -8c + 8c = 0 -25 + 18c = 11 + 0 -25 + 18c = 11 Add '25' to each side of the equation. -25 + 25 + 18c = 11 + 25 Combine like terms: -25 + 25 = 0 0 + 18c = 11 + 25 18c = 11 + 25 Combine like terms: 11 + 25 = 36 18c = 36 Divide each side by '18'. c = 2 Simplifying c = 2
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