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Simplifying -4b + -19 = 5(b + -2) Reorder the terms: -19 + -4b = 5(b + -2) Reorder the terms: -19 + -4b = 5(-2 + b) -19 + -4b = (-2 * 5 + b * 5) -19 + -4b = (-10 + 5b) Solving -19 + -4b = -10 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -19 + -4b + -5b = -10 + 5b + -5b Combine like terms: -4b + -5b = -9b -19 + -9b = -10 + 5b + -5b Combine like terms: 5b + -5b = 0 -19 + -9b = -10 + 0 -19 + -9b = -10 Add '19' to each side of the equation. -19 + 19 + -9b = -10 + 19 Combine like terms: -19 + 19 = 0 0 + -9b = -10 + 19 -9b = -10 + 19 Combine like terms: -10 + 19 = 9 -9b = 9 Divide each side by '-9'. b = -1 Simplifying b = -1
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