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Simplifying -1(5a + -51b + 82) = 0 Reorder the terms: -1(82 + 5a + -51b) = 0 (82 * -1 + 5a * -1 + -51b * -1) = 0 (-82 + -5a + 51b) = 0 Solving -82 + -5a + 51b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '82' to each side of the equation. -82 + -5a + 82 + 51b = 0 + 82 Reorder the terms: -82 + 82 + -5a + 51b = 0 + 82 Combine like terms: -82 + 82 = 0 0 + -5a + 51b = 0 + 82 -5a + 51b = 0 + 82 Combine like terms: 0 + 82 = 82 -5a + 51b = 82 Add '-51b' to each side of the equation. -5a + 51b + -51b = 82 + -51b Combine like terms: 51b + -51b = 0 -5a + 0 = 82 + -51b -5a = 82 + -51b Divide each side by '-5'. a = -16.4 + 10.2b Simplifying a = -16.4 + 10.2b
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