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Simplifying 7(a + -6) + 8 = 2(a + -7) Reorder the terms: 7(-6 + a) + 8 = 2(a + -7) (-6 * 7 + a * 7) + 8 = 2(a + -7) (-42 + 7a) + 8 = 2(a + -7) Reorder the terms: -42 + 8 + 7a = 2(a + -7) Combine like terms: -42 + 8 = -34 -34 + 7a = 2(a + -7) Reorder the terms: -34 + 7a = 2(-7 + a) -34 + 7a = (-7 * 2 + a * 2) -34 + 7a = (-14 + 2a) Solving -34 + 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. -34 + 7a + -2a = -14 + 2a + -2a Combine like terms: 7a + -2a = 5a -34 + 5a = -14 + 2a + -2a Combine like terms: 2a + -2a = 0 -34 + 5a = -14 + 0 -34 + 5a = -14 Add '34' to each side of the equation. -34 + 34 + 5a = -14 + 34 Combine like terms: -34 + 34 = 0 0 + 5a = -14 + 34 5a = -14 + 34 Combine like terms: -14 + 34 = 20 5a = 20 Divide each side by '5'. a = 4 Simplifying a = 4
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