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Simplifying 2(2c + -1) + -2 = 2x + 8 Reorder the terms: 2(-1 + 2c) + -2 = 2x + 8 (-1 * 2 + 2c * 2) + -2 = 2x + 8 (-2 + 4c) + -2 = 2x + 8 Reorder the terms: -2 + -2 + 4c = 2x + 8 Combine like terms: -2 + -2 = -4 -4 + 4c = 2x + 8 Reorder the terms: -4 + 4c = 8 + 2x Solving -4 + 4c = 8 + 2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4c = 8 + 4 + 2x Combine like terms: -4 + 4 = 0 0 + 4c = 8 + 4 + 2x 4c = 8 + 4 + 2x Combine like terms: 8 + 4 = 12 4c = 12 + 2x Divide each side by '4'. c = 3 + 0.5x Simplifying c = 3 + 0.5x
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