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Simplifying 8a + -5 + 2(a + 1) = -3(a + 6) Reorder the terms: 8a + -5 + 2(1 + a) = -3(a + 6) 8a + -5 + (1 * 2 + a * 2) = -3(a + 6) 8a + -5 + (2 + 2a) = -3(a + 6) Reorder the terms: -5 + 2 + 8a + 2a = -3(a + 6) Combine like terms: -5 + 2 = -3 -3 + 8a + 2a = -3(a + 6) Combine like terms: 8a + 2a = 10a -3 + 10a = -3(a + 6) Reorder the terms: -3 + 10a = -3(6 + a) -3 + 10a = (6 * -3 + a * -3) -3 + 10a = (-18 + -3a) Solving -3 + 10a = -18 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -3 + 10a + 3a = -18 + -3a + 3a Combine like terms: 10a + 3a = 13a -3 + 13a = -18 + -3a + 3a Combine like terms: -3a + 3a = 0 -3 + 13a = -18 + 0 -3 + 13a = -18 Add '3' to each side of the equation. -3 + 3 + 13a = -18 + 3 Combine like terms: -3 + 3 = 0 0 + 13a = -18 + 3 13a = -18 + 3 Combine like terms: -18 + 3 = -15 13a = -15 Divide each side by '13'. a = -1.153846154 Simplifying a = -1.153846154
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