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Simplifying 2a + 61b + -8 + -10b = 10a + 2c Reorder the terms: -8 + 2a + 61b + -10b = 10a + 2c Combine like terms: 61b + -10b = 51b -8 + 2a + 51b = 10a + 2c Solving -8 + 2a + 51b = 10a + 2c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -8 + 2a + -10a + 51b = 10a + -10a + 2c Combine like terms: 2a + -10a = -8a -8 + -8a + 51b = 10a + -10a + 2c Combine like terms: 10a + -10a = 0 -8 + -8a + 51b = 0 + 2c -8 + -8a + 51b = 2c Add '8' to each side of the equation. -8 + -8a + 8 + 51b = 8 + 2c Reorder the terms: -8 + 8 + -8a + 51b = 8 + 2c Combine like terms: -8 + 8 = 0 0 + -8a + 51b = 8 + 2c -8a + 51b = 8 + 2c Add '-51b' to each side of the equation. -8a + 51b + -51b = 8 + -51b + 2c Combine like terms: 51b + -51b = 0 -8a + 0 = 8 + -51b + 2c -8a = 8 + -51b + 2c Divide each side by '-8'. a = -1 + 6.375b + -0.25c Simplifying a = -1 + 6.375b + -0.25c
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