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Simplifying -4(5 + -2a) + 3(a + -4) = 6(2 + -1a) + -5a (5 * -4 + -2a * -4) + 3(a + -4) = 6(2 + -1a) + -5a (-20 + 8a) + 3(a + -4) = 6(2 + -1a) + -5a Reorder the terms: -20 + 8a + 3(-4 + a) = 6(2 + -1a) + -5a -20 + 8a + (-4 * 3 + a * 3) = 6(2 + -1a) + -5a -20 + 8a + (-12 + 3a) = 6(2 + -1a) + -5a Reorder the terms: -20 + -12 + 8a + 3a = 6(2 + -1a) + -5a Combine like terms: -20 + -12 = -32 -32 + 8a + 3a = 6(2 + -1a) + -5a Combine like terms: 8a + 3a = 11a -32 + 11a = 6(2 + -1a) + -5a -32 + 11a = (2 * 6 + -1a * 6) + -5a -32 + 11a = (12 + -6a) + -5a Combine like terms: -6a + -5a = -11a -32 + 11a = 12 + -11a Solving -32 + 11a = 12 + -11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11a' to each side of the equation. -32 + 11a + 11a = 12 + -11a + 11a Combine like terms: 11a + 11a = 22a -32 + 22a = 12 + -11a + 11a Combine like terms: -11a + 11a = 0 -32 + 22a = 12 + 0 -32 + 22a = 12 Add '32' to each side of the equation. -32 + 32 + 22a = 12 + 32 Combine like terms: -32 + 32 = 0 0 + 22a = 12 + 32 22a = 12 + 32 Combine like terms: 12 + 32 = 44 22a = 44 Divide each side by '22'. a = 2 Simplifying a = 2
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