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Simplifying 7(a + -8) + 12 = 2(a + -7) Reorder the terms: 7(-8 + a) + 12 = 2(a + -7) (-8 * 7 + a * 7) + 12 = 2(a + -7) (-56 + 7a) + 12 = 2(a + -7) Reorder the terms: -56 + 12 + 7a = 2(a + -7) Combine like terms: -56 + 12 = -44 -44 + 7a = 2(a + -7) Reorder the terms: -44 + 7a = 2(-7 + a) -44 + 7a = (-7 * 2 + a * 2) -44 + 7a = (-14 + 2a) Solving -44 + 7a = -14 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -44 + 7a + -2a = -14 + 2a + -2a Combine like terms: 7a + -2a = 5a -44 + 5a = -14 + 2a + -2a Combine like terms: 2a + -2a = 0 -44 + 5a = -14 + 0 -44 + 5a = -14 Add '44' to each side of the equation. -44 + 44 + 5a = -14 + 44 Combine like terms: -44 + 44 = 0 0 + 5a = -14 + 44 5a = -14 + 44 Combine like terms: -14 + 44 = 30 5a = 30 Divide each side by '5'. a = 6 Simplifying a = 6
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