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Simplifying (17b + -8) + -8(2b + 1) = -5 Reorder the terms: (-8 + 17b) + -8(2b + 1) = -5 Remove parenthesis around (-8 + 17b) -8 + 17b + -8(2b + 1) = -5 Reorder the terms: -8 + 17b + -8(1 + 2b) = -5 -8 + 17b + (1 * -8 + 2b * -8) = -5 -8 + 17b + (-8 + -16b) = -5 Reorder the terms: -8 + -8 + 17b + -16b = -5 Combine like terms: -8 + -8 = -16 -16 + 17b + -16b = -5 Combine like terms: 17b + -16b = 1b -16 + 1b = -5 Solving -16 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1b = -5 + 16 Combine like terms: -16 + 16 = 0 0 + 1b = -5 + 16 1b = -5 + 16 Combine like terms: -5 + 16 = 11 1b = 11 Divide each side by '1'. b = 11 Simplifying b = 11
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