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Simplifying 15 + -9(9 + 10b) + (20b + -4) = 22 15 + (9 * -9 + 10b * -9) + (20b + -4) = 22 15 + (-81 + -90b) + (20b + -4) = 22 Reorder the terms: 15 + -81 + -90b + (-4 + 20b) = 22 Remove parenthesis around (-4 + 20b) 15 + -81 + -90b + -4 + 20b = 22 Reorder the terms: 15 + -81 + -4 + -90b + 20b = 22 Combine like terms: 15 + -81 = -66 -66 + -4 + -90b + 20b = 22 Combine like terms: -66 + -4 = -70 -70 + -90b + 20b = 22 Combine like terms: -90b + 20b = -70b -70 + -70b = 22 Solving -70 + -70b = 22 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + -70b = 22 + 70 Combine like terms: -70 + 70 = 0 0 + -70b = 22 + 70 -70b = 22 + 70 Combine like terms: 22 + 70 = 92 -70b = 92 Divide each side by '-70'. b = -1.314285714 Simplifying b = -1.314285714
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