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Simplifying 8a = -10a + 3(7a + -6) Reorder the terms: 8a = -10a + 3(-6 + 7a) 8a = -10a + (-6 * 3 + 7a * 3) 8a = -10a + (-18 + 21a) Reorder the terms: 8a = -18 + -10a + 21a Combine like terms: -10a + 21a = 11a 8a = -18 + 11a Solving 8a = -18 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 8a + -11a = -18 + 11a + -11a Combine like terms: 8a + -11a = -3a -3a = -18 + 11a + -11a Combine like terms: 11a + -11a = 0 -3a = -18 + 0 -3a = -18 Divide each side by '-3'. a = 6 Simplifying a = 6
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