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Simplifying 4(2c + -1) + -3 = 4c + 5 Reorder the terms: 4(-1 + 2c) + -3 = 4c + 5 (-1 * 4 + 2c * 4) + -3 = 4c + 5 (-4 + 8c) + -3 = 4c + 5 Reorder the terms: -4 + -3 + 8c = 4c + 5 Combine like terms: -4 + -3 = -7 -7 + 8c = 4c + 5 Reorder the terms: -7 + 8c = 5 + 4c Solving -7 + 8c = 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. -7 + 8c + -4c = 5 + 4c + -4c Combine like terms: 8c + -4c = 4c -7 + 4c = 5 + 4c + -4c Combine like terms: 4c + -4c = 0 -7 + 4c = 5 + 0 -7 + 4c = 5 Add '7' to each side of the equation. -7 + 7 + 4c = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 4c = 5 + 7 4c = 5 + 7 Combine like terms: 5 + 7 = 12 4c = 12 Divide each side by '4'. c = 3 Simplifying c = 3
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