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Simplifying -17.488 + -2b = -3.2(b + 7.49) Reorder the terms: -17.488 + -2b = -3.2(7.49 + b) -17.488 + -2b = (7.49 * -3.2 + b * -3.2) -17.488 + -2b = (-23.968 + -3.2b) Solving -17.488 + -2b = -23.968 + -3.2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3.2b' to each side of the equation. -17.488 + -2b + 3.2b = -23.968 + -3.2b + 3.2b Combine like terms: -2b + 3.2b = 1.2b -17.488 + 1.2b = -23.968 + -3.2b + 3.2b Combine like terms: -3.2b + 3.2b = 0.0 -17.488 + 1.2b = -23.968 + 0.0 -17.488 + 1.2b = -23.968 Add '17.488' to each side of the equation. -17.488 + 17.488 + 1.2b = -23.968 + 17.488 Combine like terms: -17.488 + 17.488 = 0.000 0.000 + 1.2b = -23.968 + 17.488 1.2b = -23.968 + 17.488 Combine like terms: -23.968 + 17.488 = -6.48 1.2b = -6.48 Divide each side by '1.2'. b = -5.4 Simplifying b = -5.4
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