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Simplifying 5(3a + -7) + -9 = 46 Reorder the terms: 5(-7 + 3a) + -9 = 46 (-7 * 5 + 3a * 5) + -9 = 46 (-35 + 15a) + -9 = 46 Reorder the terms: -35 + -9 + 15a = 46 Combine like terms: -35 + -9 = -44 -44 + 15a = 46 Solving -44 + 15a = 46 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 15a = 46 + 44 Combine like terms: -44 + 44 = 0 0 + 15a = 46 + 44 15a = 46 + 44 Combine like terms: 46 + 44 = 90 15a = 90 Divide each side by '15'. a = 6 Simplifying a = 6
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