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Simplifying 3(2a + -3) = 5(4a + 1) Reorder the terms: 3(-3 + 2a) = 5(4a + 1) (-3 * 3 + 2a * 3) = 5(4a + 1) (-9 + 6a) = 5(4a + 1) Reorder the terms: -9 + 6a = 5(1 + 4a) -9 + 6a = (1 * 5 + 4a * 5) -9 + 6a = (5 + 20a) Solving -9 + 6a = 5 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -9 + 6a + -20a = 5 + 20a + -20a Combine like terms: 6a + -20a = -14a -9 + -14a = 5 + 20a + -20a Combine like terms: 20a + -20a = 0 -9 + -14a = 5 + 0 -9 + -14a = 5 Add '9' to each side of the equation. -9 + 9 + -14a = 5 + 9 Combine like terms: -9 + 9 = 0 0 + -14a = 5 + 9 -14a = 5 + 9 Combine like terms: 5 + 9 = 14 -14a = 14 Divide each side by '-14'. a = -1 Simplifying a = -1
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