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Simplifying 8(3a + -2b + 7) + 2(5a + -4) = 0 Reorder the terms: 8(7 + 3a + -2b) + 2(5a + -4) = 0 (7 * 8 + 3a * 8 + -2b * 8) + 2(5a + -4) = 0 (56 + 24a + -16b) + 2(5a + -4) = 0 Reorder the terms: 56 + 24a + -16b + 2(-4 + 5a) = 0 56 + 24a + -16b + (-4 * 2 + 5a * 2) = 0 56 + 24a + -16b + (-8 + 10a) = 0 Reorder the terms: 56 + -8 + 24a + 10a + -16b = 0 Combine like terms: 56 + -8 = 48 48 + 24a + 10a + -16b = 0 Combine like terms: 24a + 10a = 34a 48 + 34a + -16b = 0 Solving 48 + 34a + -16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 34a + -48 + -16b = 0 + -48 Reorder the terms: 48 + -48 + 34a + -16b = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 34a + -16b = 0 + -48 34a + -16b = 0 + -48 Combine like terms: 0 + -48 = -48 34a + -16b = -48 Add '16b' to each side of the equation. 34a + -16b + 16b = -48 + 16b Combine like terms: -16b + 16b = 0 34a + 0 = -48 + 16b 34a = -48 + 16b Divide each side by '34'. a = -1.411764706 + 0.4705882353b Simplifying a = -1.411764706 + 0.4705882353b
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