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Simplifying -3(1a + -1) + 8(1a + -3) = 6a + 7 + -5a Reorder the terms: -3(-1 + 1a) + 8(1a + -3) = 6a + 7 + -5a (-1 * -3 + 1a * -3) + 8(1a + -3) = 6a + 7 + -5a (3 + -3a) + 8(1a + -3) = 6a + 7 + -5a Reorder the terms: 3 + -3a + 8(-3 + 1a) = 6a + 7 + -5a 3 + -3a + (-3 * 8 + 1a * 8) = 6a + 7 + -5a 3 + -3a + (-24 + 8a) = 6a + 7 + -5a Reorder the terms: 3 + -24 + -3a + 8a = 6a + 7 + -5a Combine like terms: 3 + -24 = -21 -21 + -3a + 8a = 6a + 7 + -5a Combine like terms: -3a + 8a = 5a -21 + 5a = 6a + 7 + -5a Reorder the terms: -21 + 5a = 7 + 6a + -5a Combine like terms: 6a + -5a = 1a -21 + 5a = 7 + 1a Solving -21 + 5a = 7 + 1a 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 + 5a + -1a = 7 + 1a + -1a Combine like terms: 5a + -1a = 4a -21 + 4a = 7 + 1a + -1a Combine like terms: 1a + -1a = 0 -21 + 4a = 7 + 0 -21 + 4a = 7 Add '21' to each side of the equation. -21 + 21 + 4a = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 4a = 7 + 21 4a = 7 + 21 Combine like terms: 7 + 21 = 28 4a = 28 Divide each side by '4'. a = 7 Simplifying a = 7
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