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Simplifying -2(3a + -14) = 10 + -4a Reorder the terms: -2(-14 + 3a) = 10 + -4a (-14 * -2 + 3a * -2) = 10 + -4a (28 + -6a) = 10 + -4a Solving 28 + -6a = 10 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 28 + -6a + 4a = 10 + -4a + 4a Combine like terms: -6a + 4a = -2a 28 + -2a = 10 + -4a + 4a Combine like terms: -4a + 4a = 0 28 + -2a = 10 + 0 28 + -2a = 10 Add '-28' to each side of the equation. 28 + -28 + -2a = 10 + -28 Combine like terms: 28 + -28 = 0 0 + -2a = 10 + -28 -2a = 10 + -28 Combine like terms: 10 + -28 = -18 -2a = -18 Divide each side by '-2'. a = 9 Simplifying a = 9
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