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Simplifying 2(a + 8) = 6[a + -1(4 + -1a)] Reorder the terms: 2(8 + a) = 6[a + -1(4 + -1a)] (8 * 2 + a * 2) = 6[a + -1(4 + -1a)] (16 + 2a) = 6[a + -1(4 + -1a)] 16 + 2a = 6[a + (4 * -1 + -1a * -1)] 16 + 2a = 6[a + (-4 + 1a)] Reorder the terms: 16 + 2a = 6[-4 + a + 1a] Combine like terms: a + 1a = 2a 16 + 2a = 6[-4 + 2a] 16 + 2a = [-4 * 6 + 2a * 6] 16 + 2a = [-24 + 12a] Solving 16 + 2a = -24 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 16 + 2a + -12a = -24 + 12a + -12a Combine like terms: 2a + -12a = -10a 16 + -10a = -24 + 12a + -12a Combine like terms: 12a + -12a = 0 16 + -10a = -24 + 0 16 + -10a = -24 Add '-16' to each side of the equation. 16 + -16 + -10a = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -10a = -24 + -16 -10a = -24 + -16 Combine like terms: -24 + -16 = -40 -10a = -40 Divide each side by '-10'. a = 4 Simplifying a = 4
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