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Simplifying 4(2c + -1) + -3 = 3c + 8 Reorder the terms: 4(-1 + 2c) + -3 = 3c + 8 (-1 * 4 + 2c * 4) + -3 = 3c + 8 (-4 + 8c) + -3 = 3c + 8 Reorder the terms: -4 + -3 + 8c = 3c + 8 Combine like terms: -4 + -3 = -7 -7 + 8c = 3c + 8 Reorder the terms: -7 + 8c = 8 + 3c Solving -7 + 8c = 8 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -7 + 8c + -3c = 8 + 3c + -3c Combine like terms: 8c + -3c = 5c -7 + 5c = 8 + 3c + -3c Combine like terms: 3c + -3c = 0 -7 + 5c = 8 + 0 -7 + 5c = 8 Add '7' to each side of the equation. -7 + 7 + 5c = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5c = 8 + 7 5c = 8 + 7 Combine like terms: 8 + 7 = 15 5c = 15 Divide each side by '5'. c = 3 Simplifying c = 3
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