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Simplifying -2(8a + 3) = 7(x + -1) + -7 Reorder the terms: -2(3 + 8a) = 7(x + -1) + -7 (3 * -2 + 8a * -2) = 7(x + -1) + -7 (-6 + -16a) = 7(x + -1) + -7 Reorder the terms: -6 + -16a = 7(-1 + x) + -7 -6 + -16a = (-1 * 7 + x * 7) + -7 -6 + -16a = (-7 + 7x) + -7 Reorder the terms: -6 + -16a = -7 + -7 + 7x Combine like terms: -7 + -7 = -14 -6 + -16a = -14 + 7x Solving -6 + -16a = -14 + 7x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -16a = -14 + 6 + 7x Combine like terms: -6 + 6 = 0 0 + -16a = -14 + 6 + 7x -16a = -14 + 6 + 7x Combine like terms: -14 + 6 = -8 -16a = -8 + 7x Divide each side by '-16'. a = 0.5 + -0.4375x Simplifying a = 0.5 + -0.4375x
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