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Simplifying 10(7a + -2) + 9(a + -2) = 0 Reorder the terms: 10(-2 + 7a) + 9(a + -2) = 0 (-2 * 10 + 7a * 10) + 9(a + -2) = 0 (-20 + 70a) + 9(a + -2) = 0 Reorder the terms: -20 + 70a + 9(-2 + a) = 0 -20 + 70a + (-2 * 9 + a * 9) = 0 -20 + 70a + (-18 + 9a) = 0 Reorder the terms: -20 + -18 + 70a + 9a = 0 Combine like terms: -20 + -18 = -38 -38 + 70a + 9a = 0 Combine like terms: 70a + 9a = 79a -38 + 79a = 0 Solving -38 + 79a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 79a = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 79a = 0 + 38 79a = 0 + 38 Combine like terms: 0 + 38 = 38 79a = 38 Divide each side by '79'. a = 0.4810126582 Simplifying a = 0.4810126582
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