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Simplifying 3x + -5(c + -4) = -9 + 5x + 15 Reorder the terms: 3x + -5(-4 + c) = -9 + 5x + 15 3x + (-4 * -5 + c * -5) = -9 + 5x + 15 3x + (20 + -5c) = -9 + 5x + 15 Reorder the terms: 20 + -5c + 3x = -9 + 5x + 15 Reorder the terms: 20 + -5c + 3x = -9 + 15 + 5x Combine like terms: -9 + 15 = 6 20 + -5c + 3x = 6 + 5x Solving 20 + -5c + 3x = 6 + 5x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -5c + -20 + 3x = 6 + -20 + 5x Reorder the terms: 20 + -20 + -5c + 3x = 6 + -20 + 5x Combine like terms: 20 + -20 = 0 0 + -5c + 3x = 6 + -20 + 5x -5c + 3x = 6 + -20 + 5x Combine like terms: 6 + -20 = -14 -5c + 3x = -14 + 5x Add '-3x' to each side of the equation. -5c + 3x + -3x = -14 + 5x + -3x Combine like terms: 3x + -3x = 0 -5c + 0 = -14 + 5x + -3x -5c = -14 + 5x + -3x Combine like terms: 5x + -3x = 2x -5c = -14 + 2x Divide each side by '-5'. c = 2.8 + -0.4x Simplifying c = 2.8 + -0.4x
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