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Simplifying 3(a + -5) = 2(2a + 1) Reorder the terms: 3(-5 + a) = 2(2a + 1) (-5 * 3 + a * 3) = 2(2a + 1) (-15 + 3a) = 2(2a + 1) Reorder the terms: -15 + 3a = 2(1 + 2a) -15 + 3a = (1 * 2 + 2a * 2) -15 + 3a = (2 + 4a) Solving -15 + 3a = 2 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -15 + 3a + -4a = 2 + 4a + -4a Combine like terms: 3a + -4a = -1a -15 + -1a = 2 + 4a + -4a Combine like terms: 4a + -4a = 0 -15 + -1a = 2 + 0 -15 + -1a = 2 Add '15' to each side of the equation. -15 + 15 + -1a = 2 + 15 Combine like terms: -15 + 15 = 0 0 + -1a = 2 + 15 -1a = 2 + 15 Combine like terms: 2 + 15 = 17 -1a = 17 Divide each side by '-1'. a = -17 Simplifying a = -17
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