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Simplifying 45 = -3(a + 8) + 7(7 + a) Reorder the terms: 45 = -3(8 + a) + 7(7 + a) 45 = (8 * -3 + a * -3) + 7(7 + a) 45 = (-24 + -3a) + 7(7 + a) 45 = -24 + -3a + (7 * 7 + a * 7) 45 = -24 + -3a + (49 + 7a) Reorder the terms: 45 = -24 + 49 + -3a + 7a Combine like terms: -24 + 49 = 25 45 = 25 + -3a + 7a Combine like terms: -3a + 7a = 4a 45 = 25 + 4a Solving 45 = 25 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 45 + -4a = 25 + 4a + -4a Combine like terms: 4a + -4a = 0 45 + -4a = 25 + 0 45 + -4a = 25 Add '-45' to each side of the equation. 45 + -45 + -4a = 25 + -45 Combine like terms: 45 + -45 = 0 0 + -4a = 25 + -45 -4a = 25 + -45 Combine like terms: 25 + -45 = -20 -4a = -20 Divide each side by '-4'. a = 5 Simplifying a = 5
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