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Simplifying 7(a + 9) + -7 = 8a + -9 Reorder the terms: 7(9 + a) + -7 = 8a + -9 (9 * 7 + a * 7) + -7 = 8a + -9 (63 + 7a) + -7 = 8a + -9 Reorder the terms: 63 + -7 + 7a = 8a + -9 Combine like terms: 63 + -7 = 56 56 + 7a = 8a + -9 Reorder the terms: 56 + 7a = -9 + 8a Solving 56 + 7a = -9 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 56 + 7a + -8a = -9 + 8a + -8a Combine like terms: 7a + -8a = -1a 56 + -1a = -9 + 8a + -8a Combine like terms: 8a + -8a = 0 56 + -1a = -9 + 0 56 + -1a = -9 Add '-56' to each side of the equation. 56 + -56 + -1a = -9 + -56 Combine like terms: 56 + -56 = 0 0 + -1a = -9 + -56 -1a = -9 + -56 Combine like terms: -9 + -56 = -65 -1a = -65 Divide each side by '-1'. a = 65 Simplifying a = 65
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