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Simplifying 5(a + -6) + 7 = 2(a + -7) Reorder the terms: 5(-6 + a) + 7 = 2(a + -7) (-6 * 5 + a * 5) + 7 = 2(a + -7) (-30 + 5a) + 7 = 2(a + -7) Reorder the terms: -30 + 7 + 5a = 2(a + -7) Combine like terms: -30 + 7 = -23 -23 + 5a = 2(a + -7) Reorder the terms: -23 + 5a = 2(-7 + a) -23 + 5a = (-7 * 2 + a * 2) -23 + 5a = (-14 + 2a) Solving -23 + 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. -23 + 5a + -2a = -14 + 2a + -2a Combine like terms: 5a + -2a = 3a -23 + 3a = -14 + 2a + -2a Combine like terms: 2a + -2a = 0 -23 + 3a = -14 + 0 -23 + 3a = -14 Add '23' to each side of the equation. -23 + 23 + 3a = -14 + 23 Combine like terms: -23 + 23 = 0 0 + 3a = -14 + 23 3a = -14 + 23 Combine like terms: -14 + 23 = 9 3a = 9 Divide each side by '3'. a = 3 Simplifying a = 3
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