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Simplifying 10(a + 9) = 5a + 140 Reorder the terms: 10(9 + a) = 5a + 140 (9 * 10 + a * 10) = 5a + 140 (90 + 10a) = 5a + 140 Reorder the terms: 90 + 10a = 140 + 5a Solving 90 + 10a = 140 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 90 + 10a + -5a = 140 + 5a + -5a Combine like terms: 10a + -5a = 5a 90 + 5a = 140 + 5a + -5a Combine like terms: 5a + -5a = 0 90 + 5a = 140 + 0 90 + 5a = 140 Add '-90' to each side of the equation. 90 + -90 + 5a = 140 + -90 Combine like terms: 90 + -90 = 0 0 + 5a = 140 + -90 5a = 140 + -90 Combine like terms: 140 + -90 = 50 5a = 50 Divide each side by '5'. a = 10 Simplifying a = 10
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