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Simplifying (17b + -7) + -8(2b + 4) = -5 Reorder the terms: (-7 + 17b) + -8(2b + 4) = -5 Remove parenthesis around (-7 + 17b) -7 + 17b + -8(2b + 4) = -5 Reorder the terms: -7 + 17b + -8(4 + 2b) = -5 -7 + 17b + (4 * -8 + 2b * -8) = -5 -7 + 17b + (-32 + -16b) = -5 Reorder the terms: -7 + -32 + 17b + -16b = -5 Combine like terms: -7 + -32 = -39 -39 + 17b + -16b = -5 Combine like terms: 17b + -16b = 1b -39 + 1b = -5 Solving -39 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 1b = -5 + 39 Combine like terms: -39 + 39 = 0 0 + 1b = -5 + 39 1b = -5 + 39 Combine like terms: -5 + 39 = 34 1b = 34 Divide each side by '1'. b = 34 Simplifying b = 34
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