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Simplifying -18 + 1b + -17 = 8(4b + 20) + 2b Reorder the terms: -18 + -17 + 1b = 8(4b + 20) + 2b Combine like terms: -18 + -17 = -35 -35 + 1b = 8(4b + 20) + 2b Reorder the terms: -35 + 1b = 8(20 + 4b) + 2b -35 + 1b = (20 * 8 + 4b * 8) + 2b -35 + 1b = (160 + 32b) + 2b Combine like terms: 32b + 2b = 34b -35 + 1b = 160 + 34b Solving -35 + 1b = 160 + 34b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-34b' to each side of the equation. -35 + 1b + -34b = 160 + 34b + -34b Combine like terms: 1b + -34b = -33b -35 + -33b = 160 + 34b + -34b Combine like terms: 34b + -34b = 0 -35 + -33b = 160 + 0 -35 + -33b = 160 Add '35' to each side of the equation. -35 + 35 + -33b = 160 + 35 Combine like terms: -35 + 35 = 0 0 + -33b = 160 + 35 -33b = 160 + 35 Combine like terms: 160 + 35 = 195 -33b = 195 Divide each side by '-33'. b = -5.909090909 Simplifying b = -5.909090909
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