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Simplifying -48 = 7(7a + 7) + 3(8a + -8) Reorder the terms: -48 = 7(7 + 7a) + 3(8a + -8) -48 = (7 * 7 + 7a * 7) + 3(8a + -8) -48 = (49 + 49a) + 3(8a + -8) Reorder the terms: -48 = 49 + 49a + 3(-8 + 8a) -48 = 49 + 49a + (-8 * 3 + 8a * 3) -48 = 49 + 49a + (-24 + 24a) Reorder the terms: -48 = 49 + -24 + 49a + 24a Combine like terms: 49 + -24 = 25 -48 = 25 + 49a + 24a Combine like terms: 49a + 24a = 73a -48 = 25 + 73a Solving -48 = 25 + 73a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-73a' to each side of the equation. -48 + -73a = 25 + 73a + -73a Combine like terms: 73a + -73a = 0 -48 + -73a = 25 + 0 -48 + -73a = 25 Add '48' to each side of the equation. -48 + 48 + -73a = 25 + 48 Combine like terms: -48 + 48 = 0 0 + -73a = 25 + 48 -73a = 25 + 48 Combine like terms: 25 + 48 = 73 -73a = 73 Divide each side by '-73'. a = -1 Simplifying a = -1
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