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Simplifying 166 = -1a + -3(-7a + -2) Reorder the terms: 166 = -1a + -3(-2 + -7a) 166 = -1a + (-2 * -3 + -7a * -3) 166 = -1a + (6 + 21a) Reorder the terms: 166 = 6 + -1a + 21a Combine like terms: -1a + 21a = 20a 166 = 6 + 20a Solving 166 = 6 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. 166 + -20a = 6 + 20a + -20a Combine like terms: 20a + -20a = 0 166 + -20a = 6 + 0 166 + -20a = 6 Add '-166' to each side of the equation. 166 + -166 + -20a = 6 + -166 Combine like terms: 166 + -166 = 0 0 + -20a = 6 + -166 -20a = 6 + -166 Combine like terms: 6 + -166 = -160 -20a = -160 Divide each side by '-20'. a = 8 Simplifying a = 8
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