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Simplifying 5(a + 6) = 3(2a + -5) Reorder the terms: 5(6 + a) = 3(2a + -5) (6 * 5 + a * 5) = 3(2a + -5) (30 + 5a) = 3(2a + -5) Reorder the terms: 30 + 5a = 3(-5 + 2a) 30 + 5a = (-5 * 3 + 2a * 3) 30 + 5a = (-15 + 6a) Solving 30 + 5a = -15 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 30 + 5a + -6a = -15 + 6a + -6a Combine like terms: 5a + -6a = -1a 30 + -1a = -15 + 6a + -6a Combine like terms: 6a + -6a = 0 30 + -1a = -15 + 0 30 + -1a = -15 Add '-30' to each side of the equation. 30 + -30 + -1a = -15 + -30 Combine like terms: 30 + -30 = 0 0 + -1a = -15 + -30 -1a = -15 + -30 Combine like terms: -15 + -30 = -45 -1a = -45 Divide each side by '-1'. a = 45 Simplifying a = 45
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