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Simplifying 7(a + -7) + 22 = 5(a + -5) Reorder the terms: 7(-7 + a) + 22 = 5(a + -5) (-7 * 7 + a * 7) + 22 = 5(a + -5) (-49 + 7a) + 22 = 5(a + -5) Reorder the terms: -49 + 22 + 7a = 5(a + -5) Combine like terms: -49 + 22 = -27 -27 + 7a = 5(a + -5) Reorder the terms: -27 + 7a = 5(-5 + a) -27 + 7a = (-5 * 5 + a * 5) -27 + 7a = (-25 + 5a) Solving -27 + 7a = -25 + 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. -27 + 7a + -5a = -25 + 5a + -5a Combine like terms: 7a + -5a = 2a -27 + 2a = -25 + 5a + -5a Combine like terms: 5a + -5a = 0 -27 + 2a = -25 + 0 -27 + 2a = -25 Add '27' to each side of the equation. -27 + 27 + 2a = -25 + 27 Combine like terms: -27 + 27 = 0 0 + 2a = -25 + 27 2a = -25 + 27 Combine like terms: -25 + 27 = 2 2a = 2 Divide each side by '2'. a = 1 Simplifying a = 1
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