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Simplifying -7 + -2(-8a + 3) = 14 + 7a Reorder the terms: -7 + -2(3 + -8a) = 14 + 7a -7 + (3 * -2 + -8a * -2) = 14 + 7a -7 + (-6 + 16a) = 14 + 7a Combine like terms: -7 + -6 = -13 -13 + 16a = 14 + 7a Solving -13 + 16a = 14 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -13 + 16a + -7a = 14 + 7a + -7a Combine like terms: 16a + -7a = 9a -13 + 9a = 14 + 7a + -7a Combine like terms: 7a + -7a = 0 -13 + 9a = 14 + 0 -13 + 9a = 14 Add '13' to each side of the equation. -13 + 13 + 9a = 14 + 13 Combine like terms: -13 + 13 = 0 0 + 9a = 14 + 13 9a = 14 + 13 Combine like terms: 14 + 13 = 27 9a = 27 Divide each side by '9'. a = 3 Simplifying a = 3
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