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Simplifying 3a + -1a + -5 = 2[2(1 + -1a) + 6] Reorder the terms: -5 + 3a + -1a = 2[2(1 + -1a) + 6] Combine like terms: 3a + -1a = 2a -5 + 2a = 2[2(1 + -1a) + 6] -5 + 2a = 2[(1 * 2 + -1a * 2) + 6] -5 + 2a = 2[(2 + -2a) + 6] Reorder the terms: -5 + 2a = 2[2 + 6 + -2a] Combine like terms: 2 + 6 = 8 -5 + 2a = 2[8 + -2a] -5 + 2a = [8 * 2 + -2a * 2] -5 + 2a = [16 + -4a] Solving -5 + 2a = 16 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -5 + 2a + 4a = 16 + -4a + 4a Combine like terms: 2a + 4a = 6a -5 + 6a = 16 + -4a + 4a Combine like terms: -4a + 4a = 0 -5 + 6a = 16 + 0 -5 + 6a = 16 Add '5' to each side of the equation. -5 + 5 + 6a = 16 + 5 Combine like terms: -5 + 5 = 0 0 + 6a = 16 + 5 6a = 16 + 5 Combine like terms: 16 + 5 = 21 6a = 21 Divide each side by '6'. a = 3.5 Simplifying a = 3.5
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