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Simplifying -31 + 3a = 2(8a + -7) Reorder the terms: -31 + 3a = 2(-7 + 8a) -31 + 3a = (-7 * 2 + 8a * 2) -31 + 3a = (-14 + 16a) Solving -31 + 3a = -14 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -31 + 3a + -16a = -14 + 16a + -16a Combine like terms: 3a + -16a = -13a -31 + -13a = -14 + 16a + -16a Combine like terms: 16a + -16a = 0 -31 + -13a = -14 + 0 -31 + -13a = -14 Add '31' to each side of the equation. -31 + 31 + -13a = -14 + 31 Combine like terms: -31 + 31 = 0 0 + -13a = -14 + 31 -13a = -14 + 31 Combine like terms: -14 + 31 = 17 -13a = 17 Divide each side by '-13'. a = -1.307692308 Simplifying a = -1.307692308
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