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Simplifying 2(a + 4) = -3(7x + 2) + 8x Reorder the terms: 2(4 + a) = -3(7x + 2) + 8x (4 * 2 + a * 2) = -3(7x + 2) + 8x (8 + 2a) = -3(7x + 2) + 8x Reorder the terms: 8 + 2a = -3(2 + 7x) + 8x 8 + 2a = (2 * -3 + 7x * -3) + 8x 8 + 2a = (-6 + -21x) + 8x Combine like terms: -21x + 8x = -13x 8 + 2a = -6 + -13x Solving 8 + 2a = -6 + -13x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2a = -6 + -8 + -13x Combine like terms: 8 + -8 = 0 0 + 2a = -6 + -8 + -13x 2a = -6 + -8 + -13x Combine like terms: -6 + -8 = -14 2a = -14 + -13x Divide each side by '2'. a = -7 + -6.5x Simplifying a = -7 + -6.5x
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