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Simplifying -18 + 19b + -17 = 8(4b + 20) + 2b Reorder the terms: -18 + -17 + 19b = 8(4b + 20) + 2b Combine like terms: -18 + -17 = -35 -35 + 19b = 8(4b + 20) + 2b Reorder the terms: -35 + 19b = 8(20 + 4b) + 2b -35 + 19b = (20 * 8 + 4b * 8) + 2b -35 + 19b = (160 + 32b) + 2b Combine like terms: 32b + 2b = 34b -35 + 19b = 160 + 34b Solving -35 + 19b = 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 + 19b + -34b = 160 + 34b + -34b Combine like terms: 19b + -34b = -15b -35 + -15b = 160 + 34b + -34b Combine like terms: 34b + -34b = 0 -35 + -15b = 160 + 0 -35 + -15b = 160 Add '35' to each side of the equation. -35 + 35 + -15b = 160 + 35 Combine like terms: -35 + 35 = 0 0 + -15b = 160 + 35 -15b = 160 + 35 Combine like terms: 160 + 35 = 195 -15b = 195 Divide each side by '-15'. b = -13 Simplifying b = -13
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