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Simplifying 175 = 5(8a + 3) Reorder the terms: 175 = 5(3 + 8a) 175 = (3 * 5 + 8a * 5) 175 = (15 + 40a) Solving 175 = 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. 175 + -40a = 15 + 40a + -40a Combine like terms: 40a + -40a = 0 175 + -40a = 15 + 0 175 + -40a = 15 Add '-175' to each side of the equation. 175 + -175 + -40a = 15 + -175 Combine like terms: 175 + -175 = 0 0 + -40a = 15 + -175 -40a = 15 + -175 Combine like terms: 15 + -175 = -160 -40a = -160 Divide each side by '-40'. a = 4 Simplifying a = 4
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