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Simplifying -3(a + 5) + (4a + 2) = 8 Reorder the terms: -3(5 + a) + (4a + 2) = 8 (5 * -3 + a * -3) + (4a + 2) = 8 (-15 + -3a) + (4a + 2) = 8 Reorder the terms: -15 + -3a + (2 + 4a) = 8 Remove parenthesis around (2 + 4a) -15 + -3a + 2 + 4a = 8 Reorder the terms: -15 + 2 + -3a + 4a = 8 Combine like terms: -15 + 2 = -13 -13 + -3a + 4a = 8 Combine like terms: -3a + 4a = 1a -13 + 1a = 8 Solving -13 + 1a = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1a = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 1a = 8 + 13 1a = 8 + 13 Combine like terms: 8 + 13 = 21 1a = 21 Divide each side by '1'. a = 21 Simplifying a = 21
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