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Simplifying 2(a + 3) + 3(2a + -4) = 4(11 + -3a) Reorder the terms: 2(3 + a) + 3(2a + -4) = 4(11 + -3a) (3 * 2 + a * 2) + 3(2a + -4) = 4(11 + -3a) (6 + 2a) + 3(2a + -4) = 4(11 + -3a) Reorder the terms: 6 + 2a + 3(-4 + 2a) = 4(11 + -3a) 6 + 2a + (-4 * 3 + 2a * 3) = 4(11 + -3a) 6 + 2a + (-12 + 6a) = 4(11 + -3a) Reorder the terms: 6 + -12 + 2a + 6a = 4(11 + -3a) Combine like terms: 6 + -12 = -6 -6 + 2a + 6a = 4(11 + -3a) Combine like terms: 2a + 6a = 8a -6 + 8a = 4(11 + -3a) -6 + 8a = (11 * 4 + -3a * 4) -6 + 8a = (44 + -12a) Solving -6 + 8a = 44 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -6 + 8a + 12a = 44 + -12a + 12a Combine like terms: 8a + 12a = 20a -6 + 20a = 44 + -12a + 12a Combine like terms: -12a + 12a = 0 -6 + 20a = 44 + 0 -6 + 20a = 44 Add '6' to each side of the equation. -6 + 6 + 20a = 44 + 6 Combine like terms: -6 + 6 = 0 0 + 20a = 44 + 6 20a = 44 + 6 Combine like terms: 44 + 6 = 50 20a = 50 Divide each side by '20'. a = 2.5 Simplifying a = 2.5
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