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Simplifying 3(2a + -7) = -3a + 15 + -3a Reorder the terms: 3(-7 + 2a) = -3a + 15 + -3a (-7 * 3 + 2a * 3) = -3a + 15 + -3a (-21 + 6a) = -3a + 15 + -3a Reorder the terms: -21 + 6a = 15 + -3a + -3a Combine like terms: -3a + -3a = -6a -21 + 6a = 15 + -6a Solving -21 + 6a = 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. -21 + 6a + 6a = 15 + -6a + 6a Combine like terms: 6a + 6a = 12a -21 + 12a = 15 + -6a + 6a Combine like terms: -6a + 6a = 0 -21 + 12a = 15 + 0 -21 + 12a = 15 Add '21' to each side of the equation. -21 + 21 + 12a = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 12a = 15 + 21 12a = 15 + 21 Combine like terms: 15 + 21 = 36 12a = 36 Divide each side by '12'. a = 3 Simplifying a = 3
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