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Simplifying -0.58 + -1.3b = 4.5(b + 5.8) Reorder the terms: -0.58 + -1.3b = 4.5(5.8 + b) -0.58 + -1.3b = (5.8 * 4.5 + b * 4.5) -0.58 + -1.3b = (26.1 + 4.5b) Solving -0.58 + -1.3b = 26.1 + 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. -0.58 + -1.3b + -4.5b = 26.1 + 4.5b + -4.5b Combine like terms: -1.3b + -4.5b = -5.8b -0.58 + -5.8b = 26.1 + 4.5b + -4.5b Combine like terms: 4.5b + -4.5b = 0.0 -0.58 + -5.8b = 26.1 + 0.0 -0.58 + -5.8b = 26.1 Add '0.58' to each side of the equation. -0.58 + 0.58 + -5.8b = 26.1 + 0.58 Combine like terms: -0.58 + 0.58 = 0.00 0.00 + -5.8b = 26.1 + 0.58 -5.8b = 26.1 + 0.58 Combine like terms: 26.1 + 0.58 = 26.68 -5.8b = 26.68 Divide each side by '-5.8'. b = -4.6 Simplifying b = -4.6
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