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Simplifying 3(2c + -3) + -1 = -4(2c + 1) + 8 Reorder the terms: 3(-3 + 2c) + -1 = -4(2c + 1) + 8 (-3 * 3 + 2c * 3) + -1 = -4(2c + 1) + 8 (-9 + 6c) + -1 = -4(2c + 1) + 8 Reorder the terms: -9 + -1 + 6c = -4(2c + 1) + 8 Combine like terms: -9 + -1 = -10 -10 + 6c = -4(2c + 1) + 8 Reorder the terms: -10 + 6c = -4(1 + 2c) + 8 -10 + 6c = (1 * -4 + 2c * -4) + 8 -10 + 6c = (-4 + -8c) + 8 Reorder the terms: -10 + 6c = -4 + 8 + -8c Combine like terms: -4 + 8 = 4 -10 + 6c = 4 + -8c Solving -10 + 6c = 4 + -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. -10 + 6c + 8c = 4 + -8c + 8c Combine like terms: 6c + 8c = 14c -10 + 14c = 4 + -8c + 8c Combine like terms: -8c + 8c = 0 -10 + 14c = 4 + 0 -10 + 14c = 4 Add '10' to each side of the equation. -10 + 10 + 14c = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 14c = 4 + 10 14c = 4 + 10 Combine like terms: 4 + 10 = 14 14c = 14 Divide each side by '14'. c = 1 Simplifying c = 1
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