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Simplifying 75 = 3(-10a + -3) + 6a Reorder the terms: 75 = 3(-3 + -10a) + 6a 75 = (-3 * 3 + -10a * 3) + 6a 75 = (-9 + -30a) + 6a Combine like terms: -30a + 6a = -24a 75 = -9 + -24a Solving 75 = -9 + -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. 75 + 24a = -9 + -24a + 24a Combine like terms: -24a + 24a = 0 75 + 24a = -9 + 0 75 + 24a = -9 Add '-75' to each side of the equation. 75 + -75 + 24a = -9 + -75 Combine like terms: 75 + -75 = 0 0 + 24a = -9 + -75 24a = -9 + -75 Combine like terms: -9 + -75 = -84 24a = -84 Divide each side by '24'. a = -3.5 Simplifying a = -3.5
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