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Simplifying 9a + 10(6a + -1) + 4a = (a + -2) Reorder the terms: 9a + 10(-1 + 6a) + 4a = (a + -2) 9a + (-1 * 10 + 6a * 10) + 4a = (a + -2) 9a + (-10 + 60a) + 4a = (a + -2) Reorder the terms: -10 + 9a + 60a + 4a = (a + -2) Combine like terms: 9a + 60a = 69a -10 + 69a + 4a = (a + -2) Combine like terms: 69a + 4a = 73a -10 + 73a = (a + -2) Reorder the terms: -10 + 73a = (-2 + a) Remove parenthesis around (-2 + a) -10 + 73a = -2 + a Solving -10 + 73a = -2 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -10 + 73a + -1a = -2 + a + -1a Combine like terms: 73a + -1a = 72a -10 + 72a = -2 + a + -1a Combine like terms: a + -1a = 0 -10 + 72a = -2 + 0 -10 + 72a = -2 Add '10' to each side of the equation. -10 + 10 + 72a = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 72a = -2 + 10 72a = -2 + 10 Combine like terms: -2 + 10 = 8 72a = 8 Divide each side by '72'. a = 0.1111111111 Simplifying a = 0.1111111111
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