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Simplifying 2(a + -3) = 3(-2a + 6) * 3 Reorder the terms: 2(-3 + a) = 3(-2a + 6) * 3 (-3 * 2 + a * 2) = 3(-2a + 6) * 3 (-6 + 2a) = 3(-2a + 6) * 3 Reorder the terms: -6 + 2a = 3(6 + -2a) * 3 Reorder the terms for easier multiplication: -6 + 2a = 3 * 3(6 + -2a) Multiply 3 * 3 -6 + 2a = 9(6 + -2a) -6 + 2a = (6 * 9 + -2a * 9) -6 + 2a = (54 + -18a) Solving -6 + 2a = 54 + -18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18a' to each side of the equation. -6 + 2a + 18a = 54 + -18a + 18a Combine like terms: 2a + 18a = 20a -6 + 20a = 54 + -18a + 18a Combine like terms: -18a + 18a = 0 -6 + 20a = 54 + 0 -6 + 20a = 54 Add '6' to each side of the equation. -6 + 6 + 20a = 54 + 6 Combine like terms: -6 + 6 = 0 0 + 20a = 54 + 6 20a = 54 + 6 Combine like terms: 54 + 6 = 60 20a = 60 Divide each side by '20'. a = 3 Simplifying a = 3
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