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Simplifying -30 + 8a = 5(3a + -6) Reorder the terms: -30 + 8a = 5(-6 + 3a) -30 + 8a = (-6 * 5 + 3a * 5) -30 + 8a = (-30 + 15a) Add '30' to each side of the equation. -30 + 30 + 8a = -30 + 30 + 15a Combine like terms: -30 + 30 = 0 0 + 8a = -30 + 30 + 15a 8a = -30 + 30 + 15a Combine like terms: -30 + 30 = 0 8a = 0 + 15a 8a = 15a Solving 8a = 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 8a + -15a = 15a + -15a Combine like terms: 8a + -15a = -7a -7a = 15a + -15a Combine like terms: 15a + -15a = 0 -7a = 0 Divide each side by '-7'. a = 0 Simplifying a = 0
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