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