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Simplifying 12b + 15a + 63 = 1600 Reorder the terms: 63 + 15a + 12b = 1600 Solving 63 + 15a + 12b = 1600 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + 15a + -63 + 12b = 1600 + -63 Reorder the terms: 63 + -63 + 15a + 12b = 1600 + -63 Combine like terms: 63 + -63 = 0 0 + 15a + 12b = 1600 + -63 15a + 12b = 1600 + -63 Combine like terms: 1600 + -63 = 1537 15a + 12b = 1537 Add '-12b' to each side of the equation. 15a + 12b + -12b = 1537 + -12b Combine like terms: 12b + -12b = 0 15a + 0 = 1537 + -12b 15a = 1537 + -12b Divide each side by '15'. a = 102.4666667 + -0.8b Simplifying a = 102.4666667 + -0.8b
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