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Simplifying -32 = 5(8a + 3) Reorder the terms: -32 = 5(3 + 8a) -32 = (3 * 5 + 8a * 5) -32 = (15 + 40a) Solving -32 = 15 + 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. -32 + -40a = 15 + 40a + -40a Combine like terms: 40a + -40a = 0 -32 + -40a = 15 + 0 -32 + -40a = 15 Add '32' to each side of the equation. -32 + 32 + -40a = 15 + 32 Combine like terms: -32 + 32 = 0 0 + -40a = 15 + 32 -40a = 15 + 32 Combine like terms: 15 + 32 = 47 -40a = 47 Divide each side by '-40'. a = -1.175 Simplifying a = -1.175
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