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Simplifying 2x + 3y + 5z + 50a = 1000 Reorder the terms: 50a + 2x + 3y + 5z = 1000 Solving 50a + 2x + 3y + 5z = 1000 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2x' to each side of the equation. 50a + 2x + 3y + -2x + 5z = 1000 + -2x Reorder the terms: 50a + 2x + -2x + 3y + 5z = 1000 + -2x Combine like terms: 2x + -2x = 0 50a + 0 + 3y + 5z = 1000 + -2x 50a + 3y + 5z = 1000 + -2x Add '-3y' to each side of the equation. 50a + 3y + -3y + 5z = 1000 + -2x + -3y Combine like terms: 3y + -3y = 0 50a + 0 + 5z = 1000 + -2x + -3y 50a + 5z = 1000 + -2x + -3y Add '-5z' to each side of the equation. 50a + 5z + -5z = 1000 + -2x + -3y + -5z Combine like terms: 5z + -5z = 0 50a + 0 = 1000 + -2x + -3y + -5z 50a = 1000 + -2x + -3y + -5z Divide each side by '50'. a = 20 + -0.04x + -0.06y + -0.1z Simplifying a = 20 + -0.04x + -0.06y + -0.1z
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