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Simplifying (17b + -5) + -8(2b + 3) = -5 Reorder the terms: (-5 + 17b) + -8(2b + 3) = -5 Remove parenthesis around (-5 + 17b) -5 + 17b + -8(2b + 3) = -5 Reorder the terms: -5 + 17b + -8(3 + 2b) = -5 -5 + 17b + (3 * -8 + 2b * -8) = -5 -5 + 17b + (-24 + -16b) = -5 Reorder the terms: -5 + -24 + 17b + -16b = -5 Combine like terms: -5 + -24 = -29 -29 + 17b + -16b = -5 Combine like terms: 17b + -16b = 1b -29 + 1b = -5 Solving -29 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 1b = -5 + 29 Combine like terms: -29 + 29 = 0 0 + 1b = -5 + 29 1b = -5 + 29 Combine like terms: -5 + 29 = 24 1b = 24 Divide each side by '1'. b = 24 Simplifying b = 24
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