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Simplifying 9a + -3(a + 1) = 2(a + -2) Reorder the terms: 9a + -3(1 + a) = 2(a + -2) 9a + (1 * -3 + a * -3) = 2(a + -2) 9a + (-3 + -3a) = 2(a + -2) Reorder the terms: -3 + 9a + -3a = 2(a + -2) Combine like terms: 9a + -3a = 6a -3 + 6a = 2(a + -2) Reorder the terms: -3 + 6a = 2(-2 + a) -3 + 6a = (-2 * 2 + a * 2) -3 + 6a = (-4 + 2a) Solving -3 + 6a = -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. -3 + 6a + -2a = -4 + 2a + -2a Combine like terms: 6a + -2a = 4a -3 + 4a = -4 + 2a + -2a Combine like terms: 2a + -2a = 0 -3 + 4a = -4 + 0 -3 + 4a = -4 Add '3' to each side of the equation. -3 + 3 + 4a = -4 + 3 Combine like terms: -3 + 3 = 0 0 + 4a = -4 + 3 4a = -4 + 3 Combine like terms: -4 + 3 = -1 4a = -1 Divide each side by '4'. a = -0.25 Simplifying a = -0.25
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