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Simplifying 8(1 + -3a) = -2(8 + 10a) (1 * 8 + -3a * 8) = -2(8 + 10a) (8 + -24a) = -2(8 + 10a) 8 + -24a = (8 * -2 + 10a * -2) 8 + -24a = (-16 + -20a) Solving 8 + -24a = -16 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. 8 + -24a + 20a = -16 + -20a + 20a Combine like terms: -24a + 20a = -4a 8 + -4a = -16 + -20a + 20a Combine like terms: -20a + 20a = 0 8 + -4a = -16 + 0 8 + -4a = -16 Add '-8' to each side of the equation. 8 + -8 + -4a = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -4a = -16 + -8 -4a = -16 + -8 Combine like terms: -16 + -8 = -24 -4a = -24 Divide each side by '-4'. a = 6 Simplifying a = 6
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