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Simplifying 7(a + -8) + 11 = 5(a + -7) Reorder the terms: 7(-8 + a) + 11 = 5(a + -7) (-8 * 7 + a * 7) + 11 = 5(a + -7) (-56 + 7a) + 11 = 5(a + -7) Reorder the terms: -56 + 11 + 7a = 5(a + -7) Combine like terms: -56 + 11 = -45 -45 + 7a = 5(a + -7) Reorder the terms: -45 + 7a = 5(-7 + a) -45 + 7a = (-7 * 5 + a * 5) -45 + 7a = (-35 + 5a) Solving -45 + 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. -45 + 7a + -5a = -35 + 5a + -5a Combine like terms: 7a + -5a = 2a -45 + 2a = -35 + 5a + -5a Combine like terms: 5a + -5a = 0 -45 + 2a = -35 + 0 -45 + 2a = -35 Add '45' to each side of the equation. -45 + 45 + 2a = -35 + 45 Combine like terms: -45 + 45 = 0 0 + 2a = -35 + 45 2a = -35 + 45 Combine like terms: -35 + 45 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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