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Simplifying 5(a + -7) + 7 = 3(a + -6) Reorder the terms: 5(-7 + a) + 7 = 3(a + -6) (-7 * 5 + a * 5) + 7 = 3(a + -6) (-35 + 5a) + 7 = 3(a + -6) Reorder the terms: -35 + 7 + 5a = 3(a + -6) Combine like terms: -35 + 7 = -28 -28 + 5a = 3(a + -6) Reorder the terms: -28 + 5a = 3(-6 + a) -28 + 5a = (-6 * 3 + a * 3) -28 + 5a = (-18 + 3a) Solving -28 + 5a = -18 + 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. -28 + 5a + -3a = -18 + 3a + -3a Combine like terms: 5a + -3a = 2a -28 + 2a = -18 + 3a + -3a Combine like terms: 3a + -3a = 0 -28 + 2a = -18 + 0 -28 + 2a = -18 Add '28' to each side of the equation. -28 + 28 + 2a = -18 + 28 Combine like terms: -28 + 28 = 0 0 + 2a = -18 + 28 2a = -18 + 28 Combine like terms: -18 + 28 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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