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Simplifying 6a + 5 + -37 = a + 6 * 5 + -17 Reorder the terms: 5 + -37 + 6a = a + 6 * 5 + -17 Combine like terms: 5 + -37 = -32 -32 + 6a = a + 6 * 5 + -17 Multiply 6 * 5 -32 + 6a = a + 30 + -17 Reorder the terms: -32 + 6a = 30 + -17 + a Combine like terms: 30 + -17 = 13 -32 + 6a = 13 + a Solving -32 + 6a = 13 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -32 + 6a + -1a = 13 + a + -1a Combine like terms: 6a + -1a = 5a -32 + 5a = 13 + a + -1a Combine like terms: a + -1a = 0 -32 + 5a = 13 + 0 -32 + 5a = 13 Add '32' to each side of the equation. -32 + 32 + 5a = 13 + 32 Combine like terms: -32 + 32 = 0 0 + 5a = 13 + 32 5a = 13 + 32 Combine like terms: 13 + 32 = 45 5a = 45 Divide each side by '5'. a = 9 Simplifying a = 9
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