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Simplifying (5 + a) + -1(9 + b) = -4 + (a + -1b) Remove parenthesis around (5 + a) 5 + a + -1(9 + b) = -4 + (a + -1b) 5 + a + (9 * -1 + b * -1) = -4 + (a + -1b) 5 + a + (-9 + -1b) = -4 + (a + -1b) Reorder the terms: 5 + -9 + a + -1b = -4 + (a + -1b) Combine like terms: 5 + -9 = -4 -4 + a + -1b = -4 + (a + -1b) Remove parenthesis around (a + -1b) -4 + a + -1b = -4 + a + -1b Add '4' to each side of the equation. -4 + a + 4 + -1b = -4 + a + 4 + -1b Reorder the terms: -4 + 4 + a + -1b = -4 + a + 4 + -1b Combine like terms: -4 + 4 = 0 0 + a + -1b = -4 + a + 4 + -1b a + -1b = -4 + a + 4 + -1b Reorder the terms: a + -1b = -4 + 4 + a + -1b Combine like terms: -4 + 4 = 0 a + -1b = 0 + a + -1b a + -1b = a + -1b Add '-1a' to each side of the equation. a + -1a + -1b = a + -1a + -1b Combine like terms: a + -1a = 0 0 + -1b = a + -1a + -1b -1b = a + -1a + -1b Combine like terms: a + -1a = 0 -1b = 0 + -1b -1b = -1b Add 'b' to each side of the equation. -1b + b = -1b + b Combine like terms: -1b + b = 0 0 = -1b + b Combine like terms: -1b + b = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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