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Simplifying -8(2b + 3) + (17b + -8) = 0 Reorder the terms: -8(3 + 2b) + (17b + -8) = 0 (3 * -8 + 2b * -8) + (17b + -8) = 0 (-24 + -16b) + (17b + -8) = 0 Reorder the terms: -24 + -16b + (-8 + 17b) = 0 Remove parenthesis around (-8 + 17b) -24 + -16b + -8 + 17b = 0 Reorder the terms: -24 + -8 + -16b + 17b = 0 Combine like terms: -24 + -8 = -32 -32 + -16b + 17b = 0 Combine like terms: -16b + 17b = 1b -32 + 1b = 0 Solving -32 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 1b = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 1b = 0 + 32 1b = 0 + 32 Combine like terms: 0 + 32 = 32 1b = 32 Divide each side by '1'. b = 32 Simplifying b = 32
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