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Simplifying 31(a + -1) = (a + 961) * 1 Reorder the terms: 31(-1 + a) = (a + 961) * 1 (-1 * 31 + a * 31) = (a + 961) * 1 (-31 + 31a) = (a + 961) * 1 Reorder the terms: -31 + 31a = (961 + a) * 1 Reorder the terms for easier multiplication: -31 + 31a = 1(961 + a) -31 + 31a = (961 * 1 + a * 1) -31 + 31a = (961 + 1a) Solving -31 + 31a = 961 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -31 + 31a + -1a = 961 + 1a + -1a Combine like terms: 31a + -1a = 30a -31 + 30a = 961 + 1a + -1a Combine like terms: 1a + -1a = 0 -31 + 30a = 961 + 0 -31 + 30a = 961 Add '31' to each side of the equation. -31 + 31 + 30a = 961 + 31 Combine like terms: -31 + 31 = 0 0 + 30a = 961 + 31 30a = 961 + 31 Combine like terms: 961 + 31 = 992 30a = 992 Divide each side by '30'. a = 33.06666667 Simplifying a = 33.06666667
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