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Simplifying 7(5a + -4) + -1 = 14 + -8z Reorder the terms: 7(-4 + 5a) + -1 = 14 + -8z (-4 * 7 + 5a * 7) + -1 = 14 + -8z (-28 + 35a) + -1 = 14 + -8z Reorder the terms: -28 + -1 + 35a = 14 + -8z Combine like terms: -28 + -1 = -29 -29 + 35a = 14 + -8z Solving -29 + 35a = 14 + -8z Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 35a = 14 + 29 + -8z Combine like terms: -29 + 29 = 0 0 + 35a = 14 + 29 + -8z 35a = 14 + 29 + -8z Combine like terms: 14 + 29 = 43 35a = 43 + -8z Divide each side by '35'. a = 1.228571429 + -0.2285714286z Simplifying a = 1.228571429 + -0.2285714286z
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