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Simplifying (17b + -4) + -8(2b + 1) = -5 Reorder the terms: (-4 + 17b) + -8(2b + 1) = -5 Remove parenthesis around (-4 + 17b) -4 + 17b + -8(2b + 1) = -5 Reorder the terms: -4 + 17b + -8(1 + 2b) = -5 -4 + 17b + (1 * -8 + 2b * -8) = -5 -4 + 17b + (-8 + -16b) = -5 Reorder the terms: -4 + -8 + 17b + -16b = -5 Combine like terms: -4 + -8 = -12 -12 + 17b + -16b = -5 Combine like terms: 17b + -16b = 1b -12 + 1b = -5 Solving -12 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1b = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = -5 + 12 1b = -5 + 12 Combine like terms: -5 + 12 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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