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Simplifying 100(6a + 6b + 10) = 7000 Reorder the terms: 100(10 + 6a + 6b) = 7000 (10 * 100 + 6a * 100 + 6b * 100) = 7000 (1000 + 600a + 600b) = 7000 Solving 1000 + 600a + 600b = 7000 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + 600a + -1000 + 600b = 7000 + -1000 Reorder the terms: 1000 + -1000 + 600a + 600b = 7000 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 600a + 600b = 7000 + -1000 600a + 600b = 7000 + -1000 Combine like terms: 7000 + -1000 = 6000 600a + 600b = 6000 Add '-600b' to each side of the equation. 600a + 600b + -600b = 6000 + -600b Combine like terms: 600b + -600b = 0 600a + 0 = 6000 + -600b 600a = 6000 + -600b Divide each side by '600'. a = 10 + -1b Simplifying a = 10 + -1b
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