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Simplifying -26.5 = 2 + 4.5(b + -4) Reorder the terms: -26.5 = 2 + 4.5(-4 + b) -26.5 = 2 + (-4 * 4.5 + b * 4.5) -26.5 = 2 + (-18 + 4.5b) Combine like terms: 2 + -18 = -16 -26.5 = -16 + 4.5b Solving -26.5 = -16 + 4.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4.5b' to each side of the equation. -26.5 + -4.5b = -16 + 4.5b + -4.5b Combine like terms: 4.5b + -4.5b = 0.0 -26.5 + -4.5b = -16 + 0.0 -26.5 + -4.5b = -16 Add '26.5' to each side of the equation. -26.5 + 26.5 + -4.5b = -16 + 26.5 Combine like terms: -26.5 + 26.5 = 0.0 0.0 + -4.5b = -16 + 26.5 -4.5b = -16 + 26.5 Combine like terms: -16 + 26.5 = 10.5 -4.5b = 10.5 Divide each side by '-4.5'. b = -2.333333333 Simplifying b = -2.333333333
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