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Simplifying 3(2a + -7) = a + 9 Reorder the terms: 3(-7 + 2a) = a + 9 (-7 * 3 + 2a * 3) = a + 9 (-21 + 6a) = a + 9 Reorder the terms: -21 + 6a = 9 + a Solving -21 + 6a = 9 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -21 + 6a + -1a = 9 + a + -1a Combine like terms: 6a + -1a = 5a -21 + 5a = 9 + a + -1a Combine like terms: a + -1a = 0 -21 + 5a = 9 + 0 -21 + 5a = 9 Add '21' to each side of the equation. -21 + 21 + 5a = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 5a = 9 + 21 5a = 9 + 21 Combine like terms: 9 + 21 = 30 5a = 30 Divide each side by '5'. a = 6 Simplifying a = 6
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