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Simplifying 3(3a + -2) = 4(4 + -1a) Reorder the terms: 3(-2 + 3a) = 4(4 + -1a) (-2 * 3 + 3a * 3) = 4(4 + -1a) (-6 + 9a) = 4(4 + -1a) -6 + 9a = (4 * 4 + -1a * 4) -6 + 9a = (16 + -4a) Solving -6 + 9a = 16 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -6 + 9a + 4a = 16 + -4a + 4a Combine like terms: 9a + 4a = 13a -6 + 13a = 16 + -4a + 4a Combine like terms: -4a + 4a = 0 -6 + 13a = 16 + 0 -6 + 13a = 16 Add '6' to each side of the equation. -6 + 6 + 13a = 16 + 6 Combine like terms: -6 + 6 = 0 0 + 13a = 16 + 6 13a = 16 + 6 Combine like terms: 16 + 6 = 22 13a = 22 Divide each side by '13'. a = 1.692307692 Simplifying a = 1.692307692
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