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Simplifying -6a + 3(7 + -8a) = -2(3a + 4) + 5a -6a + (7 * 3 + -8a * 3) = -2(3a + 4) + 5a -6a + (21 + -24a) = -2(3a + 4) + 5a Reorder the terms: 21 + -6a + -24a = -2(3a + 4) + 5a Combine like terms: -6a + -24a = -30a 21 + -30a = -2(3a + 4) + 5a Reorder the terms: 21 + -30a = -2(4 + 3a) + 5a 21 + -30a = (4 * -2 + 3a * -2) + 5a 21 + -30a = (-8 + -6a) + 5a Combine like terms: -6a + 5a = -1a 21 + -30a = -8 + -1a Solving 21 + -30a = -8 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 21 + -30a + a = -8 + -1a + a Combine like terms: -30a + a = -29a 21 + -29a = -8 + -1a + a Combine like terms: -1a + a = 0 21 + -29a = -8 + 0 21 + -29a = -8 Add '-21' to each side of the equation. 21 + -21 + -29a = -8 + -21 Combine like terms: 21 + -21 = 0 0 + -29a = -8 + -21 -29a = -8 + -21 Combine like terms: -8 + -21 = -29 -29a = -29 Divide each side by '-29'. a = 1 Simplifying a = 1
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