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Simplifying (17b + -6) + -8(2b + 1) = -2 Reorder the terms: (-6 + 17b) + -8(2b + 1) = -2 Remove parenthesis around (-6 + 17b) -6 + 17b + -8(2b + 1) = -2 Reorder the terms: -6 + 17b + -8(1 + 2b) = -2 -6 + 17b + (1 * -8 + 2b * -8) = -2 -6 + 17b + (-8 + -16b) = -2 Reorder the terms: -6 + -8 + 17b + -16b = -2 Combine like terms: -6 + -8 = -14 -14 + 17b + -16b = -2 Combine like terms: 17b + -16b = 1b -14 + 1b = -2 Solving -14 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1b = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 1b = -2 + 14 1b = -2 + 14 Combine like terms: -2 + 14 = 12 1b = 12 Divide each side by '1'. b = 12 Simplifying b = 12
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