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Simplifying 29.5 + 9.5b = -3.5(4b + 6) Reorder the terms: 29.5 + 9.5b = -3.5(6 + 4b) 29.5 + 9.5b = (6 * -3.5 + 4b * -3.5) 29.5 + 9.5b = (-21 + -14b) Solving 29.5 + 9.5b = -21 + -14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. 29.5 + 9.5b + 14b = -21 + -14b + 14b Combine like terms: 9.5b + 14b = 23.5b 29.5 + 23.5b = -21 + -14b + 14b Combine like terms: -14b + 14b = 0 29.5 + 23.5b = -21 + 0 29.5 + 23.5b = -21 Add '-29.5' to each side of the equation. 29.5 + -29.5 + 23.5b = -21 + -29.5 Combine like terms: 29.5 + -29.5 = 0.0 0.0 + 23.5b = -21 + -29.5 23.5b = -21 + -29.5 Combine like terms: -21 + -29.5 = -50.5 23.5b = -50.5 Divide each side by '23.5'. b = -2.14893617 Simplifying b = -2.14893617
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