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Simplifying 4x + rx + 6 = y Reorder the terms: 6 + rx + 4x = y Solving 6 + rx + 4x = y Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + rx + -6 + 4x = -6 + y Reorder the terms: 6 + -6 + rx + 4x = -6 + y Combine like terms: 6 + -6 = 0 0 + rx + 4x = -6 + y rx + 4x = -6 + y Add '-4x' to each side of the equation. rx + 4x + -4x = -6 + -4x + y Combine like terms: 4x + -4x = 0 rx + 0 = -6 + -4x + y rx = -6 + -4x + y Divide each side by 'x'. r = -6x-1 + -4 + x-1y Simplifying r = -6x-1 + -4 + x-1y Reorder the terms: r = -4 + -6x-1 + x-1y
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