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Simplifying 6(3a + -4) + (3a + 4) = 5(a + -2) + -10 Reorder the terms: 6(-4 + 3a) + (3a + 4) = 5(a + -2) + -10 (-4 * 6 + 3a * 6) + (3a + 4) = 5(a + -2) + -10 (-24 + 18a) + (3a + 4) = 5(a + -2) + -10 Reorder the terms: -24 + 18a + (4 + 3a) = 5(a + -2) + -10 Remove parenthesis around (4 + 3a) -24 + 18a + 4 + 3a = 5(a + -2) + -10 Reorder the terms: -24 + 4 + 18a + 3a = 5(a + -2) + -10 Combine like terms: -24 + 4 = -20 -20 + 18a + 3a = 5(a + -2) + -10 Combine like terms: 18a + 3a = 21a -20 + 21a = 5(a + -2) + -10 Reorder the terms: -20 + 21a = 5(-2 + a) + -10 -20 + 21a = (-2 * 5 + a * 5) + -10 -20 + 21a = (-10 + 5a) + -10 Reorder the terms: -20 + 21a = -10 + -10 + 5a Combine like terms: -10 + -10 = -20 -20 + 21a = -20 + 5a Add '20' to each side of the equation. -20 + 20 + 21a = -20 + 20 + 5a Combine like terms: -20 + 20 = 0 0 + 21a = -20 + 20 + 5a 21a = -20 + 20 + 5a Combine like terms: -20 + 20 = 0 21a = 0 + 5a 21a = 5a Solving 21a = 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 21a + -5a = 5a + -5a Combine like terms: 21a + -5a = 16a 16a = 5a + -5a Combine like terms: 5a + -5a = 0 16a = 0 Divide each side by '16'. a = 0 Simplifying a = 0
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