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Simplifying 2(1a + -6b) = 8(3a + -9b) (1a * 2 + -6b * 2) = 8(3a + -9b) (2a + -12b) = 8(3a + -9b) 2a + -12b = (3a * 8 + -9b * 8) 2a + -12b = (24a + -72b) Solving 2a + -12b = 24a + -72b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 2a + -24a + -12b = 24a + -24a + -72b Combine like terms: 2a + -24a = -22a -22a + -12b = 24a + -24a + -72b Combine like terms: 24a + -24a = 0 -22a + -12b = 0 + -72b -22a + -12b = -72b Add '12b' to each side of the equation. -22a + -12b + 12b = -72b + 12b Combine like terms: -12b + 12b = 0 -22a + 0 = -72b + 12b -22a = -72b + 12b Combine like terms: -72b + 12b = -60b -22a = -60b Divide each side by '-22'. a = 2.727272727b Simplifying a = 2.727272727b
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