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Simplifying 3a + -18 = 4a + -8(3a + 8) Reorder the terms: -18 + 3a = 4a + -8(3a + 8) Reorder the terms: -18 + 3a = 4a + -8(8 + 3a) -18 + 3a = 4a + (8 * -8 + 3a * -8) -18 + 3a = 4a + (-64 + -24a) Reorder the terms: -18 + 3a = -64 + 4a + -24a Combine like terms: 4a + -24a = -20a -18 + 3a = -64 + -20a Solving -18 + 3a = -64 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. -18 + 3a + 20a = -64 + -20a + 20a Combine like terms: 3a + 20a = 23a -18 + 23a = -64 + -20a + 20a Combine like terms: -20a + 20a = 0 -18 + 23a = -64 + 0 -18 + 23a = -64 Add '18' to each side of the equation. -18 + 18 + 23a = -64 + 18 Combine like terms: -18 + 18 = 0 0 + 23a = -64 + 18 23a = -64 + 18 Combine like terms: -64 + 18 = -46 23a = -46 Divide each side by '23'. a = -2 Simplifying a = -2
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