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Simplifying -4a + -50a + 6a + -1(-31a) + -1(-13a) + -17 = 19 Remove parenthesis around (-31a) -4a + -50a + 6a + -1 * -31a + -1(-13a) + -17 = 19 Multiply -1 * -31 -4a + -50a + 6a + 31a + -1(-13a) + -17 = 19 Remove parenthesis around (-13a) -4a + -50a + 6a + 31a + -1 * -13a + -17 = 19 Multiply -1 * -13 -4a + -50a + 6a + 31a + 13a + -17 = 19 Reorder the terms: -17 + -4a + -50a + 6a + 31a + 13a = 19 Combine like terms: -4a + -50a = -54a -17 + -54a + 6a + 31a + 13a = 19 Combine like terms: -54a + 6a = -48a -17 + -48a + 31a + 13a = 19 Combine like terms: -48a + 31a = -17a -17 + -17a + 13a = 19 Combine like terms: -17a + 13a = -4a -17 + -4a = 19 Solving -17 + -4a = 19 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -4a = 19 + 17 Combine like terms: -17 + 17 = 0 0 + -4a = 19 + 17 -4a = 19 + 17 Combine like terms: 19 + 17 = 36 -4a = 36 Divide each side by '-4'. a = -9 Simplifying a = -9
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