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Simplifying 9(h + -4) + -7b = 5(3h + -2) Reorder the terms: 9(-4 + h) + -7b = 5(3h + -2) (-4 * 9 + h * 9) + -7b = 5(3h + -2) (-36 + 9h) + -7b = 5(3h + -2) Reorder the terms: -36 + -7b + 9h = 5(3h + -2) Reorder the terms: -36 + -7b + 9h = 5(-2 + 3h) -36 + -7b + 9h = (-2 * 5 + 3h * 5) -36 + -7b + 9h = (-10 + 15h) Solving -36 + -7b + 9h = -10 + 15h Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36' to each side of the equation. -36 + -7b + 36 + 9h = -10 + 36 + 15h Reorder the terms: -36 + 36 + -7b + 9h = -10 + 36 + 15h Combine like terms: -36 + 36 = 0 0 + -7b + 9h = -10 + 36 + 15h -7b + 9h = -10 + 36 + 15h Combine like terms: -10 + 36 = 26 -7b + 9h = 26 + 15h Add '-9h' to each side of the equation. -7b + 9h + -9h = 26 + 15h + -9h Combine like terms: 9h + -9h = 0 -7b + 0 = 26 + 15h + -9h -7b = 26 + 15h + -9h Combine like terms: 15h + -9h = 6h -7b = 26 + 6h Divide each side by '-7'. b = -3.714285714 + -0.8571428571h Simplifying b = -3.714285714 + -0.8571428571h
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