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Simplifying -0.9 = 0.45(b + 3) Reorder the terms: -0.9 = 0.45(3 + b) -0.9 = (3 * 0.45 + b * 0.45) -0.9 = (1.35 + 0.45b) Solving -0.9 = 1.35 + 0.45b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.45b' to each side of the equation. -0.9 + -0.45b = 1.35 + 0.45b + -0.45b Combine like terms: 0.45b + -0.45b = 0.00 -0.9 + -0.45b = 1.35 + 0.00 -0.9 + -0.45b = 1.35 Add '0.9' to each side of the equation. -0.9 + 0.9 + -0.45b = 1.35 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + -0.45b = 1.35 + 0.9 -0.45b = 1.35 + 0.9 Combine like terms: 1.35 + 0.9 = 2.25 -0.45b = 2.25 Divide each side by '-0.45'. b = -5 Simplifying b = -5
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