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Simplifying 6(2a + -3) = 3(3a + -5) Reorder the terms: 6(-3 + 2a) = 3(3a + -5) (-3 * 6 + 2a * 6) = 3(3a + -5) (-18 + 12a) = 3(3a + -5) Reorder the terms: -18 + 12a = 3(-5 + 3a) -18 + 12a = (-5 * 3 + 3a * 3) -18 + 12a = (-15 + 9a) Solving -18 + 12a = -15 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -18 + 12a + -9a = -15 + 9a + -9a Combine like terms: 12a + -9a = 3a -18 + 3a = -15 + 9a + -9a Combine like terms: 9a + -9a = 0 -18 + 3a = -15 + 0 -18 + 3a = -15 Add '18' to each side of the equation. -18 + 18 + 3a = -15 + 18 Combine like terms: -18 + 18 = 0 0 + 3a = -15 + 18 3a = -15 + 18 Combine like terms: -15 + 18 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1
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