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Simplifying -2.5b + -30 = 0.7b + 24.4 Reorder the terms: -30 + -2.5b = 0.7b + 24.4 Reorder the terms: -30 + -2.5b = 24.4 + 0.7b Solving -30 + -2.5b = 24.4 + 0.7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.7b' to each side of the equation. -30 + -2.5b + -0.7b = 24.4 + 0.7b + -0.7b Combine like terms: -2.5b + -0.7b = -3.2b -30 + -3.2b = 24.4 + 0.7b + -0.7b Combine like terms: 0.7b + -0.7b = 0.0 -30 + -3.2b = 24.4 + 0.0 -30 + -3.2b = 24.4 Add '30' to each side of the equation. -30 + 30 + -3.2b = 24.4 + 30 Combine like terms: -30 + 30 = 0 0 + -3.2b = 24.4 + 30 -3.2b = 24.4 + 30 Combine like terms: 24.4 + 30 = 54.4 -3.2b = 54.4 Divide each side by '-3.2'. b = -17 Simplifying b = -17
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