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Simplifying 4a + 38 = 13a + -61 Reorder the terms: 38 + 4a = 13a + -61 Reorder the terms: 38 + 4a = -61 + 13a Solving 38 + 4a = -61 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 38 + 4a + -13a = -61 + 13a + -13a Combine like terms: 4a + -13a = -9a 38 + -9a = -61 + 13a + -13a Combine like terms: 13a + -13a = 0 38 + -9a = -61 + 0 38 + -9a = -61 Add '-38' to each side of the equation. 38 + -38 + -9a = -61 + -38 Combine like terms: 38 + -38 = 0 0 + -9a = -61 + -38 -9a = -61 + -38 Combine like terms: -61 + -38 = -99 -9a = -99 Divide each side by '-9'. a = 11 Simplifying a = 11
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