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Simplifying 3a + -6 = 2(2a + -1) + -17 Reorder the terms: -6 + 3a = 2(2a + -1) + -17 Reorder the terms: -6 + 3a = 2(-1 + 2a) + -17 -6 + 3a = (-1 * 2 + 2a * 2) + -17 -6 + 3a = (-2 + 4a) + -17 Reorder the terms: -6 + 3a = -2 + -17 + 4a Combine like terms: -2 + -17 = -19 -6 + 3a = -19 + 4a Solving -6 + 3a = -19 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -6 + 3a + -4a = -19 + 4a + -4a Combine like terms: 3a + -4a = -1a -6 + -1a = -19 + 4a + -4a Combine like terms: 4a + -4a = 0 -6 + -1a = -19 + 0 -6 + -1a = -19 Add '6' to each side of the equation. -6 + 6 + -1a = -19 + 6 Combine like terms: -6 + 6 = 0 0 + -1a = -19 + 6 -1a = -19 + 6 Combine like terms: -19 + 6 = -13 -1a = -13 Divide each side by '-1'. a = 13 Simplifying a = 13
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