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Simplifying -23 + 4b = -5(-4b + -6) + -5 Reorder the terms: -23 + 4b = -5(-6 + -4b) + -5 -23 + 4b = (-6 * -5 + -4b * -5) + -5 -23 + 4b = (30 + 20b) + -5 Reorder the terms: -23 + 4b = 30 + -5 + 20b Combine like terms: 30 + -5 = 25 -23 + 4b = 25 + 20b Solving -23 + 4b = 25 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. -23 + 4b + -20b = 25 + 20b + -20b Combine like terms: 4b + -20b = -16b -23 + -16b = 25 + 20b + -20b Combine like terms: 20b + -20b = 0 -23 + -16b = 25 + 0 -23 + -16b = 25 Add '23' to each side of the equation. -23 + 23 + -16b = 25 + 23 Combine like terms: -23 + 23 = 0 0 + -16b = 25 + 23 -16b = 25 + 23 Combine like terms: 25 + 23 = 48 -16b = 48 Divide each side by '-16'. b = -3 Simplifying b = -3
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