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Simplifying 4a + 13 = 7a + -32 Reorder the terms: 13 + 4a = 7a + -32 Reorder the terms: 13 + 4a = -32 + 7a Solving 13 + 4a = -32 + 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. 13 + 4a + -7a = -32 + 7a + -7a Combine like terms: 4a + -7a = -3a 13 + -3a = -32 + 7a + -7a Combine like terms: 7a + -7a = 0 13 + -3a = -32 + 0 13 + -3a = -32 Add '-13' to each side of the equation. 13 + -13 + -3a = -32 + -13 Combine like terms: 13 + -13 = 0 0 + -3a = -32 + -13 -3a = -32 + -13 Combine like terms: -32 + -13 = -45 -3a = -45 Divide each side by '-3'. a = 15 Simplifying a = 15
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