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Simplifying -47 + 7a + 3b + -4 + b + 10a = 0 Reorder the terms: -47 + -4 + 7a + 10a + 3b + b = 0 Combine like terms: -47 + -4 = -51 -51 + 7a + 10a + 3b + b = 0 Combine like terms: 7a + 10a = 17a -51 + 17a + 3b + b = 0 Combine like terms: 3b + b = 4b -51 + 17a + 4b = 0 Solving -51 + 17a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 17a + 51 + 4b = 0 + 51 Reorder the terms: -51 + 51 + 17a + 4b = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 17a + 4b = 0 + 51 17a + 4b = 0 + 51 Combine like terms: 0 + 51 = 51 17a + 4b = 51 Add '-4b' to each side of the equation. 17a + 4b + -4b = 51 + -4b Combine like terms: 4b + -4b = 0 17a + 0 = 51 + -4b 17a = 51 + -4b Divide each side by '17'. a = 3 + -0.2352941176b Simplifying a = 3 + -0.2352941176b
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