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Simplifying -8 + 5(3a + -2) = 4(2a + 1) + 6 Reorder the terms: -8 + 5(-2 + 3a) = 4(2a + 1) + 6 -8 + (-2 * 5 + 3a * 5) = 4(2a + 1) + 6 -8 + (-10 + 15a) = 4(2a + 1) + 6 Combine like terms: -8 + -10 = -18 -18 + 15a = 4(2a + 1) + 6 Reorder the terms: -18 + 15a = 4(1 + 2a) + 6 -18 + 15a = (1 * 4 + 2a * 4) + 6 -18 + 15a = (4 + 8a) + 6 Reorder the terms: -18 + 15a = 4 + 6 + 8a Combine like terms: 4 + 6 = 10 -18 + 15a = 10 + 8a Solving -18 + 15a = 10 + 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 + 15a + -8a = 10 + 8a + -8a Combine like terms: 15a + -8a = 7a -18 + 7a = 10 + 8a + -8a Combine like terms: 8a + -8a = 0 -18 + 7a = 10 + 0 -18 + 7a = 10 Add '18' to each side of the equation. -18 + 18 + 7a = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 7a = 10 + 18 7a = 10 + 18 Combine like terms: 10 + 18 = 28 7a = 28 Divide each side by '7'. a = 4 Simplifying a = 4
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