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Simplifying 10(b + -7) + -9(4b + -3) = 0 Reorder the terms: 10(-7 + b) + -9(4b + -3) = 0 (-7 * 10 + b * 10) + -9(4b + -3) = 0 (-70 + 10b) + -9(4b + -3) = 0 Reorder the terms: -70 + 10b + -9(-3 + 4b) = 0 -70 + 10b + (-3 * -9 + 4b * -9) = 0 -70 + 10b + (27 + -36b) = 0 Reorder the terms: -70 + 27 + 10b + -36b = 0 Combine like terms: -70 + 27 = -43 -43 + 10b + -36b = 0 Combine like terms: 10b + -36b = -26b -43 + -26b = 0 Solving -43 + -26b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -26b = 0 + 43 Combine like terms: -43 + 43 = 0 0 + -26b = 0 + 43 -26b = 0 + 43 Combine like terms: 0 + 43 = 43 -26b = 43 Divide each side by '-26'. b = -1.653846154 Simplifying b = -1.653846154
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