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