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Simplifying 6(a + 3) = -2(a + 31) Reorder the terms: 6(3 + a) = -2(a + 31) (3 * 6 + a * 6) = -2(a + 31) (18 + 6a) = -2(a + 31) Reorder the terms: 18 + 6a = -2(31 + a) 18 + 6a = (31 * -2 + a * -2) 18 + 6a = (-62 + -2a) Solving 18 + 6a = -62 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 18 + 6a + 2a = -62 + -2a + 2a Combine like terms: 6a + 2a = 8a 18 + 8a = -62 + -2a + 2a Combine like terms: -2a + 2a = 0 18 + 8a = -62 + 0 18 + 8a = -62 Add '-18' to each side of the equation. 18 + -18 + 8a = -62 + -18 Combine like terms: 18 + -18 = 0 0 + 8a = -62 + -18 8a = -62 + -18 Combine like terms: -62 + -18 = -80 8a = -80 Divide each side by '8'. a = -10 Simplifying a = -10
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