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Simplifying -23 + -2b = 8(4b + -9) Reorder the terms: -23 + -2b = 8(-9 + 4b) -23 + -2b = (-9 * 8 + 4b * 8) -23 + -2b = (-72 + 32b) Solving -23 + -2b = -72 + 32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32b' to each side of the equation. -23 + -2b + -32b = -72 + 32b + -32b Combine like terms: -2b + -32b = -34b -23 + -34b = -72 + 32b + -32b Combine like terms: 32b + -32b = 0 -23 + -34b = -72 + 0 -23 + -34b = -72 Add '23' to each side of the equation. -23 + 23 + -34b = -72 + 23 Combine like terms: -23 + 23 = 0 0 + -34b = -72 + 23 -34b = -72 + 23 Combine like terms: -72 + 23 = -49 -34b = -49 Divide each side by '-34'. b = 1.441176471 Simplifying b = 1.441176471
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