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Simplifying 5(a + -6) + 7 = 3(a + -7) Reorder the terms: 5(-6 + a) + 7 = 3(a + -7) (-6 * 5 + a * 5) + 7 = 3(a + -7) (-30 + 5a) + 7 = 3(a + -7) Reorder the terms: -30 + 7 + 5a = 3(a + -7) Combine like terms: -30 + 7 = -23 -23 + 5a = 3(a + -7) Reorder the terms: -23 + 5a = 3(-7 + a) -23 + 5a = (-7 * 3 + a * 3) -23 + 5a = (-21 + 3a) Solving -23 + 5a = -21 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -23 + 5a + -3a = -21 + 3a + -3a Combine like terms: 5a + -3a = 2a -23 + 2a = -21 + 3a + -3a Combine like terms: 3a + -3a = 0 -23 + 2a = -21 + 0 -23 + 2a = -21 Add '23' to each side of the equation. -23 + 23 + 2a = -21 + 23 Combine like terms: -23 + 23 = 0 0 + 2a = -21 + 23 2a = -21 + 23 Combine like terms: -21 + 23 = 2 2a = 2 Divide each side by '2'. a = 1 Simplifying a = 1
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