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Simplifying 6x + -8(a + 3) = 10 Reorder the terms: 6x + -8(3 + a) = 10 6x + (3 * -8 + a * -8) = 10 6x + (-24 + -8a) = 10 Reorder the terms: -24 + -8a + 6x = 10 Solving -24 + -8a + 6x = 10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -8a + 24 + 6x = 10 + 24 Reorder the terms: -24 + 24 + -8a + 6x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + -8a + 6x = 10 + 24 -8a + 6x = 10 + 24 Combine like terms: 10 + 24 = 34 -8a + 6x = 34 Add '-6x' to each side of the equation. -8a + 6x + -6x = 34 + -6x Combine like terms: 6x + -6x = 0 -8a + 0 = 34 + -6x -8a = 34 + -6x Divide each side by '-8'. a = -4.25 + 0.75x Simplifying a = -4.25 + 0.75x
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