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Simplifying 4(a + -2) + 2z = -14 Reorder the terms: 4(-2 + a) + 2z = -14 (-2 * 4 + a * 4) + 2z = -14 (-8 + 4a) + 2z = -14 Solving -8 + 4a + 2z = -14 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 + 4a + 8 + 2z = -14 + 8 Reorder the terms: -8 + 8 + 4a + 2z = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 4a + 2z = -14 + 8 4a + 2z = -14 + 8 Combine like terms: -14 + 8 = -6 4a + 2z = -6 Add '-2z' to each side of the equation. 4a + 2z + -2z = -6 + -2z Combine like terms: 2z + -2z = 0 4a + 0 = -6 + -2z 4a = -6 + -2z Divide each side by '4'. a = -1.5 + -0.5z Simplifying a = -1.5 + -0.5z
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