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Simplifying 8a + -3 = 5(a + 7) + 3z Reorder the terms: -3 + 8a = 5(a + 7) + 3z Reorder the terms: -3 + 8a = 5(7 + a) + 3z -3 + 8a = (7 * 5 + a * 5) + 3z -3 + 8a = (35 + 5a) + 3z Solving -3 + 8a = 35 + 5a + 3z Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -3 + 8a + -5a = 35 + 5a + -5a + 3z Combine like terms: 8a + -5a = 3a -3 + 3a = 35 + 5a + -5a + 3z Combine like terms: 5a + -5a = 0 -3 + 3a = 35 + 0 + 3z -3 + 3a = 35 + 3z Add '3' to each side of the equation. -3 + 3 + 3a = 35 + 3 + 3z Combine like terms: -3 + 3 = 0 0 + 3a = 35 + 3 + 3z 3a = 35 + 3 + 3z Combine like terms: 35 + 3 = 38 3a = 38 + 3z Divide each side by '3'. a = 12.66666667 + z Simplifying a = 12.66666667 + z
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