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Simplifying 3(a + -7) = 2(2 + -1a) Reorder the terms: 3(-7 + a) = 2(2 + -1a) (-7 * 3 + a * 3) = 2(2 + -1a) (-21 + 3a) = 2(2 + -1a) -21 + 3a = (2 * 2 + -1a * 2) -21 + 3a = (4 + -2a) Solving -21 + 3a = 4 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -21 + 3a + 2a = 4 + -2a + 2a Combine like terms: 3a + 2a = 5a -21 + 5a = 4 + -2a + 2a Combine like terms: -2a + 2a = 0 -21 + 5a = 4 + 0 -21 + 5a = 4 Add '21' to each side of the equation. -21 + 21 + 5a = 4 + 21 Combine like terms: -21 + 21 = 0 0 + 5a = 4 + 21 5a = 4 + 21 Combine like terms: 4 + 21 = 25 5a = 25 Divide each side by '5'. a = 5 Simplifying a = 5
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