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Simplifying 7(a + -6) + 5 = 5(a + -7) Reorder the terms: 7(-6 + a) + 5 = 5(a + -7) (-6 * 7 + a * 7) + 5 = 5(a + -7) (-42 + 7a) + 5 = 5(a + -7) Reorder the terms: -42 + 5 + 7a = 5(a + -7) Combine like terms: -42 + 5 = -37 -37 + 7a = 5(a + -7) Reorder the terms: -37 + 7a = 5(-7 + a) -37 + 7a = (-7 * 5 + a * 5) -37 + 7a = (-35 + 5a) Solving -37 + 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. -37 + 7a + -5a = -35 + 5a + -5a Combine like terms: 7a + -5a = 2a -37 + 2a = -35 + 5a + -5a Combine like terms: 5a + -5a = 0 -37 + 2a = -35 + 0 -37 + 2a = -35 Add '37' to each side of the equation. -37 + 37 + 2a = -35 + 37 Combine like terms: -37 + 37 = 0 0 + 2a = -35 + 37 2a = -35 + 37 Combine like terms: -35 + 37 = 2 2a = 2 Divide each side by '2'. a = 1 Simplifying a = 1
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