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Simplifying -1a + -9 = a + 47 Reorder the terms: -9 + -1a = a + 47 Reorder the terms: -9 + -1a = 47 + a Solving -9 + -1a = 47 + a 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. -9 + -1a + -1a = 47 + a + -1a Combine like terms: -1a + -1a = -2a -9 + -2a = 47 + a + -1a Combine like terms: a + -1a = 0 -9 + -2a = 47 + 0 -9 + -2a = 47 Add '9' to each side of the equation. -9 + 9 + -2a = 47 + 9 Combine like terms: -9 + 9 = 0 0 + -2a = 47 + 9 -2a = 47 + 9 Combine like terms: 47 + 9 = 56 -2a = 56 Divide each side by '-2'. a = -28 Simplifying a = -28
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