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Simplifying 5a + -1(79 + -4) + -2 = 5 + -1(3a + 2) Combine like terms: 79 + -4 = 75 5a + -1(75) + -2 = 5 + -1(3a + 2) Multiply -1 * 75 5a + -75 + -2 = 5 + -1(3a + 2) Reorder the terms: -75 + -2 + 5a = 5 + -1(3a + 2) Combine like terms: -75 + -2 = -77 -77 + 5a = 5 + -1(3a + 2) Reorder the terms: -77 + 5a = 5 + -1(2 + 3a) -77 + 5a = 5 + (2 * -1 + 3a * -1) -77 + 5a = 5 + (-2 + -3a) Combine like terms: 5 + -2 = 3 -77 + 5a = 3 + -3a Solving -77 + 5a = 3 + -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. -77 + 5a + 3a = 3 + -3a + 3a Combine like terms: 5a + 3a = 8a -77 + 8a = 3 + -3a + 3a Combine like terms: -3a + 3a = 0 -77 + 8a = 3 + 0 -77 + 8a = 3 Add '77' to each side of the equation. -77 + 77 + 8a = 3 + 77 Combine like terms: -77 + 77 = 0 0 + 8a = 3 + 77 8a = 3 + 77 Combine like terms: 3 + 77 = 80 8a = 80 Divide each side by '8'. a = 10 Simplifying a = 10
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