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Simplifying 0 = (2.9b + -10) + -1(9.4b + -7) Reorder the terms: 0 = (-10 + 2.9b) + -1(9.4b + -7) Remove parenthesis around (-10 + 2.9b) 0 = -10 + 2.9b + -1(9.4b + -7) Reorder the terms: 0 = -10 + 2.9b + -1(-7 + 9.4b) 0 = -10 + 2.9b + (-7 * -1 + 9.4b * -1) 0 = -10 + 2.9b + (7 + -9.4b) Reorder the terms: 0 = -10 + 7 + 2.9b + -9.4b Combine like terms: -10 + 7 = -3 0 = -3 + 2.9b + -9.4b Combine like terms: 2.9b + -9.4b = -6.5b 0 = -3 + -6.5b Solving 0 = -3 + -6.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6.5b' to each side of the equation. 0 + 6.5b = -3 + -6.5b + 6.5b Remove the zero: 6.5b = -3 + -6.5b + 6.5b Combine like terms: -6.5b + 6.5b = 0.0 6.5b = -3 + 0.0 6.5b = -3 Divide each side by '6.5'. b = -0.4615384615 Simplifying b = -0.4615384615
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