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Simplifying a * 4 + 63 = a * 7 + -9 Reorder the terms for easier multiplication: 4a + 63 = a * 7 + -9 Reorder the terms: 63 + 4a = a * 7 + -9 Reorder the terms for easier multiplication: 63 + 4a = 7a + -9 Reorder the terms: 63 + 4a = -9 + 7a Solving 63 + 4a = -9 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 63 + 4a + -7a = -9 + 7a + -7a Combine like terms: 4a + -7a = -3a 63 + -3a = -9 + 7a + -7a Combine like terms: 7a + -7a = 0 63 + -3a = -9 + 0 63 + -3a = -9 Add '-63' to each side of the equation. 63 + -63 + -3a = -9 + -63 Combine like terms: 63 + -63 = 0 0 + -3a = -9 + -63 -3a = -9 + -63 Combine like terms: -9 + -63 = -72 -3a = -72 Divide each side by '-3'. a = 24 Simplifying a = 24
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