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Simplifying -2(-8a + 36) + -1(7a + -2b) = 0 Reorder the terms: -2(36 + -8a) + -1(7a + -2b) = 0 (36 * -2 + -8a * -2) + -1(7a + -2b) = 0 (-72 + 16a) + -1(7a + -2b) = 0 -72 + 16a + (7a * -1 + -2b * -1) = 0 -72 + 16a + (-7a + 2b) = 0 Combine like terms: 16a + -7a = 9a -72 + 9a + 2b = 0 Solving -72 + 9a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 9a + 72 + 2b = 0 + 72 Reorder the terms: -72 + 72 + 9a + 2b = 0 + 72 Combine like terms: -72 + 72 = 0 0 + 9a + 2b = 0 + 72 9a + 2b = 0 + 72 Combine like terms: 0 + 72 = 72 9a + 2b = 72 Add '-2b' to each side of the equation. 9a + 2b + -2b = 72 + -2b Combine like terms: 2b + -2b = 0 9a + 0 = 72 + -2b 9a = 72 + -2b Divide each side by '9'. a = 8 + -0.2222222222b Simplifying a = 8 + -0.2222222222b
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