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Simplifying 3(a + -1) + -5(2 + -1a) + 6 = 1 Reorder the terms: 3(-1 + a) + -5(2 + -1a) + 6 = 1 (-1 * 3 + a * 3) + -5(2 + -1a) + 6 = 1 (-3 + 3a) + -5(2 + -1a) + 6 = 1 -3 + 3a + (2 * -5 + -1a * -5) + 6 = 1 -3 + 3a + (-10 + 5a) + 6 = 1 Reorder the terms: -3 + -10 + 6 + 3a + 5a = 1 Combine like terms: -3 + -10 = -13 -13 + 6 + 3a + 5a = 1 Combine like terms: -13 + 6 = -7 -7 + 3a + 5a = 1 Combine like terms: 3a + 5a = 8a -7 + 8a = 1 Solving -7 + 8a = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8a = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 8a = 1 + 7 8a = 1 + 7 Combine like terms: 1 + 7 = 8 8a = 8 Divide each side by '8'. a = 1 Simplifying a = 1
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