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Simplifying 8a + 4 + -2(a + 8) = -3(2a + -1) + 6 Reorder the terms: 8a + 4 + -2(8 + a) = -3(2a + -1) + 6 8a + 4 + (8 * -2 + a * -2) = -3(2a + -1) + 6 8a + 4 + (-16 + -2a) = -3(2a + -1) + 6 Reorder the terms: 4 + -16 + 8a + -2a = -3(2a + -1) + 6 Combine like terms: 4 + -16 = -12 -12 + 8a + -2a = -3(2a + -1) + 6 Combine like terms: 8a + -2a = 6a -12 + 6a = -3(2a + -1) + 6 Reorder the terms: -12 + 6a = -3(-1 + 2a) + 6 -12 + 6a = (-1 * -3 + 2a * -3) + 6 -12 + 6a = (3 + -6a) + 6 Reorder the terms: -12 + 6a = 3 + 6 + -6a Combine like terms: 3 + 6 = 9 -12 + 6a = 9 + -6a Solving -12 + 6a = 9 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -12 + 6a + 6a = 9 + -6a + 6a Combine like terms: 6a + 6a = 12a -12 + 12a = 9 + -6a + 6a Combine like terms: -6a + 6a = 0 -12 + 12a = 9 + 0 -12 + 12a = 9 Add '12' to each side of the equation. -12 + 12 + 12a = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 12a = 9 + 12 12a = 9 + 12 Combine like terms: 9 + 12 = 21 12a = 21 Divide each side by '12'. a = 1.75 Simplifying a = 1.75
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