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Simplifying 6(a + -7) + 8 = 2(a + -5) Reorder the terms: 6(-7 + a) + 8 = 2(a + -5) (-7 * 6 + a * 6) + 8 = 2(a + -5) (-42 + 6a) + 8 = 2(a + -5) Reorder the terms: -42 + 8 + 6a = 2(a + -5) Combine like terms: -42 + 8 = -34 -34 + 6a = 2(a + -5) Reorder the terms: -34 + 6a = 2(-5 + a) -34 + 6a = (-5 * 2 + a * 2) -34 + 6a = (-10 + 2a) Solving -34 + 6a = -10 + 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 + 6a + -2a = -10 + 2a + -2a Combine like terms: 6a + -2a = 4a -34 + 4a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 -34 + 4a = -10 + 0 -34 + 4a = -10 Add '34' to each side of the equation. -34 + 34 + 4a = -10 + 34 Combine like terms: -34 + 34 = 0 0 + 4a = -10 + 34 4a = -10 + 34 Combine like terms: -10 + 34 = 24 4a = 24 Divide each side by '4'. a = 6 Simplifying a = 6
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