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Simplifying -5(2a + -3) + 3(a + 7) = 8 Reorder the terms: -5(-3 + 2a) + 3(a + 7) = 8 (-3 * -5 + 2a * -5) + 3(a + 7) = 8 (15 + -10a) + 3(a + 7) = 8 Reorder the terms: 15 + -10a + 3(7 + a) = 8 15 + -10a + (7 * 3 + a * 3) = 8 15 + -10a + (21 + 3a) = 8 Reorder the terms: 15 + 21 + -10a + 3a = 8 Combine like terms: 15 + 21 = 36 36 + -10a + 3a = 8 Combine like terms: -10a + 3a = -7a 36 + -7a = 8 Solving 36 + -7a = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -7a = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -7a = 8 + -36 -7a = 8 + -36 Combine like terms: 8 + -36 = -28 -7a = -28 Divide each side by '-7'. a = 4 Simplifying a = 4
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