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Simplifying -50 = 12 + -3(6a + -2) + 10a Reorder the terms: -50 = 12 + -3(-2 + 6a) + 10a -50 = 12 + (-2 * -3 + 6a * -3) + 10a -50 = 12 + (6 + -18a) + 10a Combine like terms: 12 + 6 = 18 -50 = 18 + -18a + 10a Combine like terms: -18a + 10a = -8a -50 = 18 + -8a Solving -50 = 18 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -50 + 8a = 18 + -8a + 8a Combine like terms: -8a + 8a = 0 -50 + 8a = 18 + 0 -50 + 8a = 18 Add '50' to each side of the equation. -50 + 50 + 8a = 18 + 50 Combine like terms: -50 + 50 = 0 0 + 8a = 18 + 50 8a = 18 + 50 Combine like terms: 18 + 50 = 68 8a = 68 Divide each side by '8'. a = 8.5 Simplifying a = 8.5
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