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Simplifying 30 = -5(7a + 1) Reorder the terms: 30 = -5(1 + 7a) 30 = (1 * -5 + 7a * -5) 30 = (-5 + -35a) Solving 30 = -5 + -35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35a' to each side of the equation. 30 + 35a = -5 + -35a + 35a Combine like terms: -35a + 35a = 0 30 + 35a = -5 + 0 30 + 35a = -5 Add '-30' to each side of the equation. 30 + -30 + 35a = -5 + -30 Combine like terms: 30 + -30 = 0 0 + 35a = -5 + -30 35a = -5 + -30 Combine like terms: -5 + -30 = -35 35a = -35 Divide each side by '35'. a = -1 Simplifying a = -1
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