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Simplifying 2(b + -9) = 4(b + 1) + -17 Reorder the terms: 2(-9 + b) = 4(b + 1) + -17 (-9 * 2 + b * 2) = 4(b + 1) + -17 (-18 + 2b) = 4(b + 1) + -17 Reorder the terms: -18 + 2b = 4(1 + b) + -17 -18 + 2b = (1 * 4 + b * 4) + -17 -18 + 2b = (4 + 4b) + -17 Reorder the terms: -18 + 2b = 4 + -17 + 4b Combine like terms: 4 + -17 = -13 -18 + 2b = -13 + 4b Solving -18 + 2b = -13 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -18 + 2b + -4b = -13 + 4b + -4b Combine like terms: 2b + -4b = -2b -18 + -2b = -13 + 4b + -4b Combine like terms: 4b + -4b = 0 -18 + -2b = -13 + 0 -18 + -2b = -13 Add '18' to each side of the equation. -18 + 18 + -2b = -13 + 18 Combine like terms: -18 + 18 = 0 0 + -2b = -13 + 18 -2b = -13 + 18 Combine like terms: -13 + 18 = 5 -2b = 5 Divide each side by '-2'. b = -2.5 Simplifying b = -2.5
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