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Simplifying 3x + -4(c + -5) + -2(y + -6) = 0 Reorder the terms: 3x + -4(-5 + c) + -2(y + -6) = 0 3x + (-5 * -4 + c * -4) + -2(y + -6) = 0 3x + (20 + -4c) + -2(y + -6) = 0 Reorder the terms: 3x + 20 + -4c + -2(-6 + y) = 0 3x + 20 + -4c + (-6 * -2 + y * -2) = 0 3x + 20 + -4c + (12 + -2y) = 0 Reorder the terms: 20 + 12 + -4c + 3x + -2y = 0 Combine like terms: 20 + 12 = 32 32 + -4c + 3x + -2y = 0 Solving 32 + -4c + 3x + -2y = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -4c + 3x + -32 + -2y = 0 + -32 Reorder the terms: 32 + -32 + -4c + 3x + -2y = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -4c + 3x + -2y = 0 + -32 -4c + 3x + -2y = 0 + -32 Combine like terms: 0 + -32 = -32 -4c + 3x + -2y = -32 Add '-3x' to each side of the equation. -4c + 3x + -3x + -2y = -32 + -3x Combine like terms: 3x + -3x = 0 -4c + 0 + -2y = -32 + -3x -4c + -2y = -32 + -3x Add '2y' to each side of the equation. -4c + -2y + 2y = -32 + -3x + 2y Combine like terms: -2y + 2y = 0 -4c + 0 = -32 + -3x + 2y -4c = -32 + -3x + 2y Divide each side by '-4'. c = 8 + 0.75x + -0.5y Simplifying c = 8 + 0.75x + -0.5y
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