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Simplifying 3(a + -5) = (2a + 1) Reorder the terms: 3(-5 + a) = (2a + 1) (-5 * 3 + a * 3) = (2a + 1) (-15 + 3a) = (2a + 1) Reorder the terms: -15 + 3a = (1 + 2a) Remove parenthesis around (1 + 2a) -15 + 3a = 1 + 2a Solving -15 + 3a = 1 + 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. -15 + 3a + -2a = 1 + 2a + -2a Combine like terms: 3a + -2a = 1a -15 + 1a = 1 + 2a + -2a Combine like terms: 2a + -2a = 0 -15 + 1a = 1 + 0 -15 + 1a = 1 Add '15' to each side of the equation. -15 + 15 + 1a = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 1a = 1 + 15 1a = 1 + 15 Combine like terms: 1 + 15 = 16 1a = 16 Divide each side by '1'. a = 16 Simplifying a = 16
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