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Simplifying a * 5 + -9 = 3 * 5 + -1a Reorder the terms for easier multiplication: 5a + -9 = 3 * 5 + -1a Reorder the terms: -9 + 5a = 3 * 5 + -1a Multiply 3 * 5 -9 + 5a = 15 + -1a Solving -9 + 5a = 15 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -9 + 5a + a = 15 + -1a + a Combine like terms: 5a + a = 6a -9 + 6a = 15 + -1a + a Combine like terms: -1a + a = 0 -9 + 6a = 15 + 0 -9 + 6a = 15 Add '9' to each side of the equation. -9 + 9 + 6a = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 6a = 15 + 9 6a = 15 + 9 Combine like terms: 15 + 9 = 24 6a = 24 Divide each side by '6'. a = 4 Simplifying a = 4
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