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Simplifying -73 = -3(5a + 6) + 5(a + 1) Reorder the terms: -73 = -3(6 + 5a) + 5(a + 1) -73 = (6 * -3 + 5a * -3) + 5(a + 1) -73 = (-18 + -15a) + 5(a + 1) Reorder the terms: -73 = -18 + -15a + 5(1 + a) -73 = -18 + -15a + (1 * 5 + a * 5) -73 = -18 + -15a + (5 + 5a) Reorder the terms: -73 = -18 + 5 + -15a + 5a Combine like terms: -18 + 5 = -13 -73 = -13 + -15a + 5a Combine like terms: -15a + 5a = -10a -73 = -13 + -10a Solving -73 = -13 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. -73 + 10a = -13 + -10a + 10a Combine like terms: -10a + 10a = 0 -73 + 10a = -13 + 0 -73 + 10a = -13 Add '73' to each side of the equation. -73 + 73 + 10a = -13 + 73 Combine like terms: -73 + 73 = 0 0 + 10a = -13 + 73 10a = -13 + 73 Combine like terms: -13 + 73 = 60 10a = 60 Divide each side by '10'. a = 6 Simplifying a = 6
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