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Simplifying 2(4c + -1) + -5 = 4c + 9 Reorder the terms: 2(-1 + 4c) + -5 = 4c + 9 (-1 * 2 + 4c * 2) + -5 = 4c + 9 (-2 + 8c) + -5 = 4c + 9 Reorder the terms: -2 + -5 + 8c = 4c + 9 Combine like terms: -2 + -5 = -7 -7 + 8c = 4c + 9 Reorder the terms: -7 + 8c = 9 + 4c Solving -7 + 8c = 9 + 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 = 9 + 4c + -4c Combine like terms: 8c + -4c = 4c -7 + 4c = 9 + 4c + -4c Combine like terms: 4c + -4c = 0 -7 + 4c = 9 + 0 -7 + 4c = 9 Add '7' to each side of the equation. -7 + 7 + 4c = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 4c = 9 + 7 4c = 9 + 7 Combine like terms: 9 + 7 = 16 4c = 16 Divide each side by '4'. c = 4 Simplifying c = 4
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