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Simplifying 7(a + -7) + 6 = 5(a + -7) Reorder the terms: 7(-7 + a) + 6 = 5(a + -7) (-7 * 7 + a * 7) + 6 = 5(a + -7) (-49 + 7a) + 6 = 5(a + -7) Reorder the terms: -49 + 6 + 7a = 5(a + -7) Combine like terms: -49 + 6 = -43 -43 + 7a = 5(a + -7) Reorder the terms: -43 + 7a = 5(-7 + a) -43 + 7a = (-7 * 5 + a * 5) -43 + 7a = (-35 + 5a) Solving -43 + 7a = -35 + 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. -43 + 7a + -5a = -35 + 5a + -5a Combine like terms: 7a + -5a = 2a -43 + 2a = -35 + 5a + -5a Combine like terms: 5a + -5a = 0 -43 + 2a = -35 + 0 -43 + 2a = -35 Add '43' to each side of the equation. -43 + 43 + 2a = -35 + 43 Combine like terms: -43 + 43 = 0 0 + 2a = -35 + 43 2a = -35 + 43 Combine like terms: -35 + 43 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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