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Simplifying 3b + -2(a + 3) + 3(2a + -4) = 4(11 + -3a) + 3b + 2(3 + -1a) Reorder the terms: 3b + -2(3 + a) + 3(2a + -4) = 4(11 + -3a) + 3b + 2(3 + -1a) 3b + (3 * -2 + a * -2) + 3(2a + -4) = 4(11 + -3a) + 3b + 2(3 + -1a) 3b + (-6 + -2a) + 3(2a + -4) = 4(11 + -3a) + 3b + 2(3 + -1a) Reorder the terms: 3b + -6 + -2a + 3(-4 + 2a) = 4(11 + -3a) + 3b + 2(3 + -1a) 3b + -6 + -2a + (-4 * 3 + 2a * 3) = 4(11 + -3a) + 3b + 2(3 + -1a) 3b + -6 + -2a + (-12 + 6a) = 4(11 + -3a) + 3b + 2(3 + -1a) Reorder the terms: -6 + -12 + -2a + 6a + 3b = 4(11 + -3a) + 3b + 2(3 + -1a) Combine like terms: -6 + -12 = -18 -18 + -2a + 6a + 3b = 4(11 + -3a) + 3b + 2(3 + -1a) Combine like terms: -2a + 6a = 4a -18 + 4a + 3b = 4(11 + -3a) + 3b + 2(3 + -1a) -18 + 4a + 3b = (11 * 4 + -3a * 4) + 3b + 2(3 + -1a) -18 + 4a + 3b = (44 + -12a) + 3b + 2(3 + -1a) -18 + 4a + 3b = 44 + -12a + 3b + (3 * 2 + -1a * 2) -18 + 4a + 3b = 44 + -12a + 3b + (6 + -2a) Reorder the terms: -18 + 4a + 3b = 44 + 6 + -12a + -2a + 3b Combine like terms: 44 + 6 = 50 -18 + 4a + 3b = 50 + -12a + -2a + 3b Combine like terms: -12a + -2a = -14a -18 + 4a + 3b = 50 + -14a + 3b Add '-3b' to each side of the equation. -18 + 4a + 3b + -3b = 50 + -14a + 3b + -3b Combine like terms: 3b + -3b = 0 -18 + 4a + 0 = 50 + -14a + 3b + -3b -18 + 4a = 50 + -14a + 3b + -3b Combine like terms: 3b + -3b = 0 -18 + 4a = 50 + -14a + 0 -18 + 4a = 50 + -14a Solving -18 + 4a = 50 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. -18 + 4a + 14a = 50 + -14a + 14a Combine like terms: 4a + 14a = 18a -18 + 18a = 50 + -14a + 14a Combine like terms: -14a + 14a = 0 -18 + 18a = 50 + 0 -18 + 18a = 50 Add '18' to each side of the equation. -18 + 18 + 18a = 50 + 18 Combine like terms: -18 + 18 = 0 0 + 18a = 50 + 18 18a = 50 + 18 Combine like terms: 50 + 18 = 68 18a = 68 Divide each side by '18'. a = 3.777777778 Simplifying a = 3.777777778
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