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Simplifying -21 + 8b = 9(5b + -6) Reorder the terms: -21 + 8b = 9(-6 + 5b) -21 + 8b = (-6 * 9 + 5b * 9) -21 + 8b = (-54 + 45b) Solving -21 + 8b = -54 + 45b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-45b' to each side of the equation. -21 + 8b + -45b = -54 + 45b + -45b Combine like terms: 8b + -45b = -37b -21 + -37b = -54 + 45b + -45b Combine like terms: 45b + -45b = 0 -21 + -37b = -54 + 0 -21 + -37b = -54 Add '21' to each side of the equation. -21 + 21 + -37b = -54 + 21 Combine like terms: -21 + 21 = 0 0 + -37b = -54 + 21 -37b = -54 + 21 Combine like terms: -54 + 21 = -33 -37b = -33 Divide each side by '-37'. b = 0.8918918919 Simplifying b = 0.8918918919
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