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Simplifying 100a + 10(9) = 40(a + 9) Multiply 10 * 9 100a + 90 = 40(a + 9) Reorder the terms: 90 + 100a = 40(a + 9) Reorder the terms: 90 + 100a = 40(9 + a) 90 + 100a = (9 * 40 + a * 40) 90 + 100a = (360 + 40a) Solving 90 + 100a = 360 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. 90 + 100a + -40a = 360 + 40a + -40a Combine like terms: 100a + -40a = 60a 90 + 60a = 360 + 40a + -40a Combine like terms: 40a + -40a = 0 90 + 60a = 360 + 0 90 + 60a = 360 Add '-90' to each side of the equation. 90 + -90 + 60a = 360 + -90 Combine like terms: 90 + -90 = 0 0 + 60a = 360 + -90 60a = 360 + -90 Combine like terms: 360 + -90 = 270 60a = 270 Divide each side by '60'. a = 4.5 Simplifying a = 4.5
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