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Simplifying (17b + -7) + -8(2b + 3) = -2 Reorder the terms: (-7 + 17b) + -8(2b + 3) = -2 Remove parenthesis around (-7 + 17b) -7 + 17b + -8(2b + 3) = -2 Reorder the terms: -7 + 17b + -8(3 + 2b) = -2 -7 + 17b + (3 * -8 + 2b * -8) = -2 -7 + 17b + (-24 + -16b) = -2 Reorder the terms: -7 + -24 + 17b + -16b = -2 Combine like terms: -7 + -24 = -31 -31 + 17b + -16b = -2 Combine like terms: 17b + -16b = 1b -31 + 1b = -2 Solving -31 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 1b = -2 + 31 Combine like terms: -31 + 31 = 0 0 + 1b = -2 + 31 1b = -2 + 31 Combine like terms: -2 + 31 = 29 1b = 29 Divide each side by '1'. b = 29 Simplifying b = 29
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