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Simplifying 3(2a + -1) + -7 = a + 15 Reorder the terms: 3(-1 + 2a) + -7 = a + 15 (-1 * 3 + 2a * 3) + -7 = a + 15 (-3 + 6a) + -7 = a + 15 Reorder the terms: -3 + -7 + 6a = a + 15 Combine like terms: -3 + -7 = -10 -10 + 6a = a + 15 Reorder the terms: -10 + 6a = 15 + a Solving -10 + 6a = 15 + 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. -10 + 6a + -1a = 15 + a + -1a Combine like terms: 6a + -1a = 5a -10 + 5a = 15 + a + -1a Combine like terms: a + -1a = 0 -10 + 5a = 15 + 0 -10 + 5a = 15 Add '10' to each side of the equation. -10 + 10 + 5a = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 5a = 15 + 10 5a = 15 + 10 Combine like terms: 15 + 10 = 25 5a = 25 Divide each side by '5'. a = 5 Simplifying a = 5
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