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Simplifying 30 + 8a = -5(a + 7) Reorder the terms: 30 + 8a = -5(7 + a) 30 + 8a = (7 * -5 + a * -5) 30 + 8a = (-35 + -5a) Solving 30 + 8a = -35 + -5a 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. 30 + 8a + 5a = -35 + -5a + 5a Combine like terms: 8a + 5a = 13a 30 + 13a = -35 + -5a + 5a Combine like terms: -5a + 5a = 0 30 + 13a = -35 + 0 30 + 13a = -35 Add '-30' to each side of the equation. 30 + -30 + 13a = -35 + -30 Combine like terms: 30 + -30 = 0 0 + 13a = -35 + -30 13a = -35 + -30 Combine like terms: -35 + -30 = -65 13a = -65 Divide each side by '13'. a = -5 Simplifying a = -5
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