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Simplifying 4(2a + 3) + -3(4a + -2) = 5(4a + -7) Reorder the terms: 4(3 + 2a) + -3(4a + -2) = 5(4a + -7) (3 * 4 + 2a * 4) + -3(4a + -2) = 5(4a + -7) (12 + 8a) + -3(4a + -2) = 5(4a + -7) Reorder the terms: 12 + 8a + -3(-2 + 4a) = 5(4a + -7) 12 + 8a + (-2 * -3 + 4a * -3) = 5(4a + -7) 12 + 8a + (6 + -12a) = 5(4a + -7) Reorder the terms: 12 + 6 + 8a + -12a = 5(4a + -7) Combine like terms: 12 + 6 = 18 18 + 8a + -12a = 5(4a + -7) Combine like terms: 8a + -12a = -4a 18 + -4a = 5(4a + -7) Reorder the terms: 18 + -4a = 5(-7 + 4a) 18 + -4a = (-7 * 5 + 4a * 5) 18 + -4a = (-35 + 20a) Solving 18 + -4a = -35 + 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. 18 + -4a + -20a = -35 + 20a + -20a Combine like terms: -4a + -20a = -24a 18 + -24a = -35 + 20a + -20a Combine like terms: 20a + -20a = 0 18 + -24a = -35 + 0 18 + -24a = -35 Add '-18' to each side of the equation. 18 + -18 + -24a = -35 + -18 Combine like terms: 18 + -18 = 0 0 + -24a = -35 + -18 -24a = -35 + -18 Combine like terms: -35 + -18 = -53 -24a = -53 Divide each side by '-24'. a = 2.208333333 Simplifying a = 2.208333333
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