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Simplifying a + -101 = -1a + -7 Reorder the terms: -101 + a = -1a + -7 Reorder the terms: -101 + a = -7 + -1a Solving -101 + a = -7 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -101 + a + a = -7 + -1a + a Combine like terms: a + a = 2a -101 + 2a = -7 + -1a + a Combine like terms: -1a + a = 0 -101 + 2a = -7 + 0 -101 + 2a = -7 Add '101' to each side of the equation. -101 + 101 + 2a = -7 + 101 Combine like terms: -101 + 101 = 0 0 + 2a = -7 + 101 2a = -7 + 101 Combine like terms: -7 + 101 = 94 2a = 94 Divide each side by '2'. a = 47 Simplifying a = 47
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