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Simplifying 5(a + -1) + 3 + -7 = -2a + 8 Reorder the terms: 5(-1 + a) + 3 + -7 = -2a + 8 (-1 * 5 + a * 5) + 3 + -7 = -2a + 8 (-5 + 5a) + 3 + -7 = -2a + 8 Reorder the terms: -5 + 3 + -7 + 5a = -2a + 8 Combine like terms: -5 + 3 = -2 -2 + -7 + 5a = -2a + 8 Combine like terms: -2 + -7 = -9 -9 + 5a = -2a + 8 Reorder the terms: -9 + 5a = 8 + -2a Solving -9 + 5a = 8 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -9 + 5a + 2a = 8 + -2a + 2a Combine like terms: 5a + 2a = 7a -9 + 7a = 8 + -2a + 2a Combine like terms: -2a + 2a = 0 -9 + 7a = 8 + 0 -9 + 7a = 8 Add '9' to each side of the equation. -9 + 9 + 7a = 8 + 9 Combine like terms: -9 + 9 = 0 0 + 7a = 8 + 9 7a = 8 + 9 Combine like terms: 8 + 9 = 17 7a = 17 Divide each side by '7'. a = 2.428571429 Simplifying a = 2.428571429
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