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Simplifying 2(3x + -1) + 2(4c + 5) = 8 Reorder the terms: 2(-1 + 3x) + 2(4c + 5) = 8 (-1 * 2 + 3x * 2) + 2(4c + 5) = 8 (-2 + 6x) + 2(4c + 5) = 8 Reorder the terms: -2 + 6x + 2(5 + 4c) = 8 -2 + 6x + (5 * 2 + 4c * 2) = 8 -2 + 6x + (10 + 8c) = 8 Reorder the terms: -2 + 10 + 8c + 6x = 8 Combine like terms: -2 + 10 = 8 8 + 8c + 6x = 8 Add '-8' to each side of the equation. 8 + 8c + -8 + 6x = 8 + -8 Reorder the terms: 8 + -8 + 8c + 6x = 8 + -8 Combine like terms: 8 + -8 = 0 0 + 8c + 6x = 8 + -8 8c + 6x = 8 + -8 Combine like terms: 8 + -8 = 0 8c + 6x = 0 Solving 8c + 6x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6x' to each side of the equation. 8c + 6x + -6x = 0 + -6x Combine like terms: 6x + -6x = 0 8c + 0 = 0 + -6x 8c = 0 + -6x Remove the zero: 8c = -6x Divide each side by '8'. c = -0.75x Simplifying c = -0.75x
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