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Simplifying 2(2a + -4) + 3(2a + -4) = 4(11 + -3a) Reorder the terms: 2(-4 + 2a) + 3(2a + -4) = 4(11 + -3a) (-4 * 2 + 2a * 2) + 3(2a + -4) = 4(11 + -3a) (-8 + 4a) + 3(2a + -4) = 4(11 + -3a) Reorder the terms: -8 + 4a + 3(-4 + 2a) = 4(11 + -3a) -8 + 4a + (-4 * 3 + 2a * 3) = 4(11 + -3a) -8 + 4a + (-12 + 6a) = 4(11 + -3a) Reorder the terms: -8 + -12 + 4a + 6a = 4(11 + -3a) Combine like terms: -8 + -12 = -20 -20 + 4a + 6a = 4(11 + -3a) Combine like terms: 4a + 6a = 10a -20 + 10a = 4(11 + -3a) -20 + 10a = (11 * 4 + -3a * 4) -20 + 10a = (44 + -12a) Solving -20 + 10a = 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. -20 + 10a + 12a = 44 + -12a + 12a Combine like terms: 10a + 12a = 22a -20 + 22a = 44 + -12a + 12a Combine like terms: -12a + 12a = 0 -20 + 22a = 44 + 0 -20 + 22a = 44 Add '20' to each side of the equation. -20 + 20 + 22a = 44 + 20 Combine like terms: -20 + 20 = 0 0 + 22a = 44 + 20 22a = 44 + 20 Combine like terms: 44 + 20 = 64 22a = 64 Divide each side by '22'. a = 2.909090909 Simplifying a = 2.909090909
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