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Simplifying 17a + -8(a + 1) = 3(a + -3) Reorder the terms: 17a + -8(1 + a) = 3(a + -3) 17a + (1 * -8 + a * -8) = 3(a + -3) 17a + (-8 + -8a) = 3(a + -3) Reorder the terms: -8 + 17a + -8a = 3(a + -3) Combine like terms: 17a + -8a = 9a -8 + 9a = 3(a + -3) Reorder the terms: -8 + 9a = 3(-3 + a) -8 + 9a = (-3 * 3 + a * 3) -8 + 9a = (-9 + 3a) Solving -8 + 9a = -9 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -8 + 9a + -3a = -9 + 3a + -3a Combine like terms: 9a + -3a = 6a -8 + 6a = -9 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + 6a = -9 + 0 -8 + 6a = -9 Add '8' to each side of the equation. -8 + 8 + 6a = -9 + 8 Combine like terms: -8 + 8 = 0 0 + 6a = -9 + 8 6a = -9 + 8 Combine like terms: -9 + 8 = -1 6a = -1 Divide each side by '6'. a = -0.1666666667 Simplifying a = -0.1666666667
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