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Simplifying (15a + -9) + -1(10z + 3) = 0 Reorder the terms: (-9 + 15a) + -1(10z + 3) = 0 Remove parenthesis around (-9 + 15a) -9 + 15a + -1(10z + 3) = 0 Reorder the terms: -9 + 15a + -1(3 + 10z) = 0 -9 + 15a + (3 * -1 + 10z * -1) = 0 -9 + 15a + (-3 + -10z) = 0 Reorder the terms: -9 + -3 + 15a + -10z = 0 Combine like terms: -9 + -3 = -12 -12 + 15a + -10z = 0 Solving -12 + 15a + -10z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 15a + 12 + -10z = 0 + 12 Reorder the terms: -12 + 12 + 15a + -10z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 15a + -10z = 0 + 12 15a + -10z = 0 + 12 Combine like terms: 0 + 12 = 12 15a + -10z = 12 Add '10z' to each side of the equation. 15a + -10z + 10z = 12 + 10z Combine like terms: -10z + 10z = 0 15a + 0 = 12 + 10z 15a = 12 + 10z Divide each side by '15'. a = 0.8 + 0.6666666667z Simplifying a = 0.8 + 0.6666666667z
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