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Simplifying -2(6 + 8a) = 10 + 6a (6 * -2 + 8a * -2) = 10 + 6a (-12 + -16a) = 10 + 6a Solving -12 + -16a = 10 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -12 + -16a + -6a = 10 + 6a + -6a Combine like terms: -16a + -6a = -22a -12 + -22a = 10 + 6a + -6a Combine like terms: 6a + -6a = 0 -12 + -22a = 10 + 0 -12 + -22a = 10 Add '12' to each side of the equation. -12 + 12 + -22a = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -22a = 10 + 12 -22a = 10 + 12 Combine like terms: 10 + 12 = 22 -22a = 22 Divide each side by '-22'. a = -1 Simplifying a = -1
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