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Simplifying 10(7a + 5) + -2 = 8(3a + 15) Reorder the terms: 10(5 + 7a) + -2 = 8(3a + 15) (5 * 10 + 7a * 10) + -2 = 8(3a + 15) (50 + 70a) + -2 = 8(3a + 15) Reorder the terms: 50 + -2 + 70a = 8(3a + 15) Combine like terms: 50 + -2 = 48 48 + 70a = 8(3a + 15) Reorder the terms: 48 + 70a = 8(15 + 3a) 48 + 70a = (15 * 8 + 3a * 8) 48 + 70a = (120 + 24a) Solving 48 + 70a = 120 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 48 + 70a + -24a = 120 + 24a + -24a Combine like terms: 70a + -24a = 46a 48 + 46a = 120 + 24a + -24a Combine like terms: 24a + -24a = 0 48 + 46a = 120 + 0 48 + 46a = 120 Add '-48' to each side of the equation. 48 + -48 + 46a = 120 + -48 Combine like terms: 48 + -48 = 0 0 + 46a = 120 + -48 46a = 120 + -48 Combine like terms: 120 + -48 = 72 46a = 72 Divide each side by '46'. a = 1.565217391 Simplifying a = 1.565217391
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