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Simplifying 8(-3a + 1) = 10a Reorder the terms: 8(1 + -3a) = 10a (1 * 8 + -3a * 8) = 10a (8 + -24a) = 10a Solving 8 + -24a = 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 8 + -24a + -10a = 10a + -10a Combine like terms: -24a + -10a = -34a 8 + -34a = 10a + -10a Combine like terms: 10a + -10a = 0 8 + -34a = 0 Add '-8' to each side of the equation. 8 + -8 + -34a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -34a = 0 + -8 -34a = 0 + -8 Combine like terms: 0 + -8 = -8 -34a = -8 Divide each side by '-34'. a = 0.2352941176 Simplifying a = 0.2352941176
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