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Simplifying 7(a + -7) + 13 = 5(a + -6) Reorder the terms: 7(-7 + a) + 13 = 5(a + -6) (-7 * 7 + a * 7) + 13 = 5(a + -6) (-49 + 7a) + 13 = 5(a + -6) Reorder the terms: -49 + 13 + 7a = 5(a + -6) Combine like terms: -49 + 13 = -36 -36 + 7a = 5(a + -6) Reorder the terms: -36 + 7a = 5(-6 + a) -36 + 7a = (-6 * 5 + a * 5) -36 + 7a = (-30 + 5a) Solving -36 + 7a = -30 + 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. -36 + 7a + -5a = -30 + 5a + -5a Combine like terms: 7a + -5a = 2a -36 + 2a = -30 + 5a + -5a Combine like terms: 5a + -5a = 0 -36 + 2a = -30 + 0 -36 + 2a = -30 Add '36' to each side of the equation. -36 + 36 + 2a = -30 + 36 Combine like terms: -36 + 36 = 0 0 + 2a = -30 + 36 2a = -30 + 36 Combine like terms: -30 + 36 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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