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Simplifying -30 = 5(8a + 7) Reorder the terms: -30 = 5(7 + 8a) -30 = (7 * 5 + 8a * 5) -30 = (35 + 40a) Solving -30 = 35 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. -30 + -40a = 35 + 40a + -40a Combine like terms: 40a + -40a = 0 -30 + -40a = 35 + 0 -30 + -40a = 35 Add '30' to each side of the equation. -30 + 30 + -40a = 35 + 30 Combine like terms: -30 + 30 = 0 0 + -40a = 35 + 30 -40a = 35 + 30 Combine like terms: 35 + 30 = 65 -40a = 65 Divide each side by '-40'. a = -1.625 Simplifying a = -1.625
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