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Simplifying 5(a + -7) + 9 = 2(a + -7) Reorder the terms: 5(-7 + a) + 9 = 2(a + -7) (-7 * 5 + a * 5) + 9 = 2(a + -7) (-35 + 5a) + 9 = 2(a + -7) Reorder the terms: -35 + 9 + 5a = 2(a + -7) Combine like terms: -35 + 9 = -26 -26 + 5a = 2(a + -7) Reorder the terms: -26 + 5a = 2(-7 + a) -26 + 5a = (-7 * 2 + a * 2) -26 + 5a = (-14 + 2a) Solving -26 + 5a = -14 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -26 + 5a + -2a = -14 + 2a + -2a Combine like terms: 5a + -2a = 3a -26 + 3a = -14 + 2a + -2a Combine like terms: 2a + -2a = 0 -26 + 3a = -14 + 0 -26 + 3a = -14 Add '26' to each side of the equation. -26 + 26 + 3a = -14 + 26 Combine like terms: -26 + 26 = 0 0 + 3a = -14 + 26 3a = -14 + 26 Combine like terms: -14 + 26 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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