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Simplifying 3a + -17 = -1(a + -1) + -6 Reorder the terms: -17 + 3a = -1(a + -1) + -6 Reorder the terms: -17 + 3a = -1(-1 + a) + -6 -17 + 3a = (-1 * -1 + a * -1) + -6 -17 + 3a = (1 + -1a) + -6 Reorder the terms: -17 + 3a = 1 + -6 + -1a Combine like terms: 1 + -6 = -5 -17 + 3a = -5 + -1a Solving -17 + 3a = -5 + -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. -17 + 3a + a = -5 + -1a + a Combine like terms: 3a + a = 4a -17 + 4a = -5 + -1a + a Combine like terms: -1a + a = 0 -17 + 4a = -5 + 0 -17 + 4a = -5 Add '17' to each side of the equation. -17 + 17 + 4a = -5 + 17 Combine like terms: -17 + 17 = 0 0 + 4a = -5 + 17 4a = -5 + 17 Combine like terms: -5 + 17 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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