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Simplifying 3(a + -5) + -1(2a + 1) = 0 Reorder the terms: 3(-5 + a) + -1(2a + 1) = 0 (-5 * 3 + a * 3) + -1(2a + 1) = 0 (-15 + 3a) + -1(2a + 1) = 0 Reorder the terms: -15 + 3a + -1(1 + 2a) = 0 -15 + 3a + (1 * -1 + 2a * -1) = 0 -15 + 3a + (-1 + -2a) = 0 Reorder the terms: -15 + -1 + 3a + -2a = 0 Combine like terms: -15 + -1 = -16 -16 + 3a + -2a = 0 Combine like terms: 3a + -2a = 1a -16 + 1a = 0 Solving -16 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1a = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 1a = 0 + 16 1a = 0 + 16 Combine like terms: 0 + 16 = 16 1a = 16 Divide each side by '1'. a = 16 Simplifying a = 16
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