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Simplifying 31(a + -1) = 62(a + 1) Reorder the terms: 31(-1 + a) = 62(a + 1) (-1 * 31 + a * 31) = 62(a + 1) (-31 + 31a) = 62(a + 1) Reorder the terms: -31 + 31a = 62(1 + a) -31 + 31a = (1 * 62 + a * 62) -31 + 31a = (62 + 62a) Solving -31 + 31a = 62 + 62a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-62a' to each side of the equation. -31 + 31a + -62a = 62 + 62a + -62a Combine like terms: 31a + -62a = -31a -31 + -31a = 62 + 62a + -62a Combine like terms: 62a + -62a = 0 -31 + -31a = 62 + 0 -31 + -31a = 62 Add '31' to each side of the equation. -31 + 31 + -31a = 62 + 31 Combine like terms: -31 + 31 = 0 0 + -31a = 62 + 31 -31a = 62 + 31 Combine like terms: 62 + 31 = 93 -31a = 93 Divide each side by '-31'. a = -3 Simplifying a = -3
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