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Simplifying 4a + 13 = 6a + -51 Reorder the terms: 13 + 4a = 6a + -51 Reorder the terms: 13 + 4a = -51 + 6a Solving 13 + 4a = -51 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 13 + 4a + -6a = -51 + 6a + -6a Combine like terms: 4a + -6a = -2a 13 + -2a = -51 + 6a + -6a Combine like terms: 6a + -6a = 0 13 + -2a = -51 + 0 13 + -2a = -51 Add '-13' to each side of the equation. 13 + -13 + -2a = -51 + -13 Combine like terms: 13 + -13 = 0 0 + -2a = -51 + -13 -2a = -51 + -13 Combine like terms: -51 + -13 = -64 -2a = -64 Divide each side by '-2'. a = 32 Simplifying a = 32
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