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Simplifying 8a + -2[a + 5] = 2[a + -1] Reorder the terms: 8a + -2[5 + a] = 2[a + -1] 8a + [5 * -2 + a * -2] = 2[a + -1] 8a + [-10 + -2a] = 2[a + -1] Reorder the terms: -10 + 8a + -2a = 2[a + -1] Combine like terms: 8a + -2a = 6a -10 + 6a = 2[a + -1] Reorder the terms: -10 + 6a = 2[-1 + a] -10 + 6a = [-1 * 2 + a * 2] -10 + 6a = [-2 + 2a] Solving -10 + 6a = -2 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -10 + 6a + -2a = -2 + 2a + -2a Combine like terms: 6a + -2a = 4a -10 + 4a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 -10 + 4a = -2 + 0 -10 + 4a = -2 Add '10' to each side of the equation. -10 + 10 + 4a = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 4a = -2 + 10 4a = -2 + 10 Combine like terms: -2 + 10 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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