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Simplifying 7(a + -6) + 8 = 5(a + -6) Reorder the terms: 7(-6 + a) + 8 = 5(a + -6) (-6 * 7 + a * 7) + 8 = 5(a + -6) (-42 + 7a) + 8 = 5(a + -6) Reorder the terms: -42 + 8 + 7a = 5(a + -6) Combine like terms: -42 + 8 = -34 -34 + 7a = 5(a + -6) Reorder the terms: -34 + 7a = 5(-6 + a) -34 + 7a = (-6 * 5 + a * 5) -34 + 7a = (-30 + 5a) Solving -34 + 7a = -30 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -34 + 7a + -5a = -30 + 5a + -5a Combine like terms: 7a + -5a = 2a -34 + 2a = -30 + 5a + -5a Combine like terms: 5a + -5a = 0 -34 + 2a = -30 + 0 -34 + 2a = -30 Add '34' to each side of the equation. -34 + 34 + 2a = -30 + 34 Combine like terms: -34 + 34 = 0 0 + 2a = -30 + 34 2a = -30 + 34 Combine like terms: -30 + 34 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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