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Simplifying 3(a + 2) + -8 = 5a + -18 Reorder the terms: 3(2 + a) + -8 = 5a + -18 (2 * 3 + a * 3) + -8 = 5a + -18 (6 + 3a) + -8 = 5a + -18 Reorder the terms: 6 + -8 + 3a = 5a + -18 Combine like terms: 6 + -8 = -2 -2 + 3a = 5a + -18 Reorder the terms: -2 + 3a = -18 + 5a Solving -2 + 3a = -18 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -2 + 3a + -5a = -18 + 5a + -5a Combine like terms: 3a + -5a = -2a -2 + -2a = -18 + 5a + -5a Combine like terms: 5a + -5a = 0 -2 + -2a = -18 + 0 -2 + -2a = -18 Add '2' to each side of the equation. -2 + 2 + -2a = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -2a = -18 + 2 -2a = -18 + 2 Combine like terms: -18 + 2 = -16 -2a = -16 Divide each side by '-2'. a = 8 Simplifying a = 8
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