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Simplifying 8a + 6(2b + -7) = 0 Reorder the terms: 8a + 6(-7 + 2b) = 0 8a + (-7 * 6 + 2b * 6) = 0 8a + (-42 + 12b) = 0 Reorder the terms: -42 + 8a + 12b = 0 Solving -42 + 8a + 12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 8a + 42 + 12b = 0 + 42 Reorder the terms: -42 + 42 + 8a + 12b = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 8a + 12b = 0 + 42 8a + 12b = 0 + 42 Combine like terms: 0 + 42 = 42 8a + 12b = 42 Add '-12b' to each side of the equation. 8a + 12b + -12b = 42 + -12b Combine like terms: 12b + -12b = 0 8a + 0 = 42 + -12b 8a = 42 + -12b Divide each side by '8'. a = 5.25 + -1.5b Simplifying a = 5.25 + -1.5b
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