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Simplifying 6(a + -2) = 9a + -3(2a + -1) Reorder the terms: 6(-2 + a) = 9a + -3(2a + -1) (-2 * 6 + a * 6) = 9a + -3(2a + -1) (-12 + 6a) = 9a + -3(2a + -1) Reorder the terms: -12 + 6a = 9a + -3(-1 + 2a) -12 + 6a = 9a + (-1 * -3 + 2a * -3) -12 + 6a = 9a + (3 + -6a) Reorder the terms: -12 + 6a = 3 + 9a + -6a Combine like terms: 9a + -6a = 3a -12 + 6a = 3 + 3a Solving -12 + 6a = 3 + 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. -12 + 6a + -3a = 3 + 3a + -3a Combine like terms: 6a + -3a = 3a -12 + 3a = 3 + 3a + -3a Combine like terms: 3a + -3a = 0 -12 + 3a = 3 + 0 -12 + 3a = 3 Add '12' to each side of the equation. -12 + 12 + 3a = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 3a = 3 + 12 3a = 3 + 12 Combine like terms: 3 + 12 = 15 3a = 15 Divide each side by '3'. a = 5 Simplifying a = 5
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