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Simplifying 7 + 3(a + -6) + -2 + 5a + -2a = 0 Reorder the terms: 7 + 3(-6 + a) + -2 + 5a + -2a = 0 7 + (-6 * 3 + a * 3) + -2 + 5a + -2a = 0 7 + (-18 + 3a) + -2 + 5a + -2a = 0 Reorder the terms: 7 + -18 + -2 + 3a + 5a + -2a = 0 Combine like terms: 7 + -18 = -11 -11 + -2 + 3a + 5a + -2a = 0 Combine like terms: -11 + -2 = -13 -13 + 3a + 5a + -2a = 0 Combine like terms: 3a + 5a = 8a -13 + 8a + -2a = 0 Combine like terms: 8a + -2a = 6a -13 + 6a = 0 Solving -13 + 6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 6a = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 6a = 0 + 13 6a = 0 + 13 Combine like terms: 0 + 13 = 13 6a = 13 Divide each side by '6'. a = 2.166666667 Simplifying a = 2.166666667
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