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Simplifying 1(a + -6) + 2 = 3a + -17 Reorder the terms: 1(-6 + a) + 2 = 3a + -17 (-6 * 1 + a * 1) + 2 = 3a + -17 (-6 + 1a) + 2 = 3a + -17 Reorder the terms: -6 + 2 + 1a = 3a + -17 Combine like terms: -6 + 2 = -4 -4 + 1a = 3a + -17 Reorder the terms: -4 + 1a = -17 + 3a Solving -4 + 1a = -17 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -4 + 1a + -3a = -17 + 3a + -3a Combine like terms: 1a + -3a = -2a -4 + -2a = -17 + 3a + -3a Combine like terms: 3a + -3a = 0 -4 + -2a = -17 + 0 -4 + -2a = -17 Add '4' to each side of the equation. -4 + 4 + -2a = -17 + 4 Combine like terms: -4 + 4 = 0 0 + -2a = -17 + 4 -2a = -17 + 4 Combine like terms: -17 + 4 = -13 -2a = -13 Divide each side by '-2'. a = 6.5 Simplifying a = 6.5
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