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Simplifying -23 = -3(-4b + -3) + -8(1 + b) Reorder the terms: -23 = -3(-3 + -4b) + -8(1 + b) -23 = (-3 * -3 + -4b * -3) + -8(1 + b) -23 = (9 + 12b) + -8(1 + b) -23 = 9 + 12b + (1 * -8 + b * -8) -23 = 9 + 12b + (-8 + -8b) Reorder the terms: -23 = 9 + -8 + 12b + -8b Combine like terms: 9 + -8 = 1 -23 = 1 + 12b + -8b Combine like terms: 12b + -8b = 4b -23 = 1 + 4b Solving -23 = 1 + 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. -23 + -4b = 1 + 4b + -4b Combine like terms: 4b + -4b = 0 -23 + -4b = 1 + 0 -23 + -4b = 1 Add '23' to each side of the equation. -23 + 23 + -4b = 1 + 23 Combine like terms: -23 + 23 = 0 0 + -4b = 1 + 23 -4b = 1 + 23 Combine like terms: 1 + 23 = 24 -4b = 24 Divide each side by '-4'. b = -6 Simplifying b = -6
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