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Simplifying -73 = -7(-6a + 8) + 5(3 + -2a) Reorder the terms: -73 = -7(8 + -6a) + 5(3 + -2a) -73 = (8 * -7 + -6a * -7) + 5(3 + -2a) -73 = (-56 + 42a) + 5(3 + -2a) -73 = -56 + 42a + (3 * 5 + -2a * 5) -73 = -56 + 42a + (15 + -10a) Reorder the terms: -73 = -56 + 15 + 42a + -10a Combine like terms: -56 + 15 = -41 -73 = -41 + 42a + -10a Combine like terms: 42a + -10a = 32a -73 = -41 + 32a Solving -73 = -41 + 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. -73 + -32a = -41 + 32a + -32a Combine like terms: 32a + -32a = 0 -73 + -32a = -41 + 0 -73 + -32a = -41 Add '73' to each side of the equation. -73 + 73 + -32a = -41 + 73 Combine like terms: -73 + 73 = 0 0 + -32a = -41 + 73 -32a = -41 + 73 Combine like terms: -41 + 73 = 32 -32a = 32 Divide each side by '-32'. a = -1 Simplifying a = -1
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