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Simplifying -8.69 + -2.5b = 4.4(b + 3.2) Reorder the terms: -8.69 + -2.5b = 4.4(3.2 + b) -8.69 + -2.5b = (3.2 * 4.4 + b * 4.4) -8.69 + -2.5b = (14.08 + 4.4b) Solving -8.69 + -2.5b = 14.08 + 4.4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4.4b' to each side of the equation. -8.69 + -2.5b + -4.4b = 14.08 + 4.4b + -4.4b Combine like terms: -2.5b + -4.4b = -6.9b -8.69 + -6.9b = 14.08 + 4.4b + -4.4b Combine like terms: 4.4b + -4.4b = 0.0 -8.69 + -6.9b = 14.08 + 0.0 -8.69 + -6.9b = 14.08 Add '8.69' to each side of the equation. -8.69 + 8.69 + -6.9b = 14.08 + 8.69 Combine like terms: -8.69 + 8.69 = 0.00 0.00 + -6.9b = 14.08 + 8.69 -6.9b = 14.08 + 8.69 Combine like terms: 14.08 + 8.69 = 22.77 -6.9b = 22.77 Divide each side by '-6.9'. b = -3.3 Simplifying b = -3.3
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