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Simplifying 10a + -37 = 6a + 511 Reorder the terms: -37 + 10a = 6a + 511 Reorder the terms: -37 + 10a = 511 + 6a Solving -37 + 10a = 511 + 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. -37 + 10a + -6a = 511 + 6a + -6a Combine like terms: 10a + -6a = 4a -37 + 4a = 511 + 6a + -6a Combine like terms: 6a + -6a = 0 -37 + 4a = 511 + 0 -37 + 4a = 511 Add '37' to each side of the equation. -37 + 37 + 4a = 511 + 37 Combine like terms: -37 + 37 = 0 0 + 4a = 511 + 37 4a = 511 + 37 Combine like terms: 511 + 37 = 548 4a = 548 Divide each side by '4'. a = 137 Simplifying a = 137
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