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Simplifying 3a + -6 = (2a + -1) + -17 Reorder the terms: -6 + 3a = (2a + -1) + -17 Reorder the terms: -6 + 3a = (-1 + 2a) + -17 Remove parenthesis around (-1 + 2a) -6 + 3a = -1 + 2a + -17 Reorder the terms: -6 + 3a = -1 + -17 + 2a Combine like terms: -1 + -17 = -18 -6 + 3a = -18 + 2a Solving -6 + 3a = -18 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -6 + 3a + -2a = -18 + 2a + -2a Combine like terms: 3a + -2a = 1a -6 + 1a = -18 + 2a + -2a Combine like terms: 2a + -2a = 0 -6 + 1a = -18 + 0 -6 + 1a = -18 Add '6' to each side of the equation. -6 + 6 + 1a = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 1a = -18 + 6 1a = -18 + 6 Combine like terms: -18 + 6 = -12 1a = -12 Divide each side by '1'. a = -12 Simplifying a = -12
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