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Simplifying 6(3 + -4a) + -2a = 8a + -152 (3 * 6 + -4a * 6) + -2a = 8a + -152 (18 + -24a) + -2a = 8a + -152 Combine like terms: -24a + -2a = -26a 18 + -26a = 8a + -152 Reorder the terms: 18 + -26a = -152 + 8a Solving 18 + -26a = -152 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 18 + -26a + -8a = -152 + 8a + -8a Combine like terms: -26a + -8a = -34a 18 + -34a = -152 + 8a + -8a Combine like terms: 8a + -8a = 0 18 + -34a = -152 + 0 18 + -34a = -152 Add '-18' to each side of the equation. 18 + -18 + -34a = -152 + -18 Combine like terms: 18 + -18 = 0 0 + -34a = -152 + -18 -34a = -152 + -18 Combine like terms: -152 + -18 = -170 -34a = -170 Divide each side by '-34'. a = 5 Simplifying a = 5
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