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Simplifying (-9b + 7) * 5 + (8z + -8) * 1 = 0 Reorder the terms: (7 + -9b) * 5 + (8z + -8) * 1 = 0 Reorder the terms for easier multiplication: 5(7 + -9b) + (8z + -8) * 1 = 0 (7 * 5 + -9b * 5) + (8z + -8) * 1 = 0 (35 + -45b) + (8z + -8) * 1 = 0 Reorder the terms: 35 + -45b + (-8 + 8z) * 1 = 0 Reorder the terms for easier multiplication: 35 + -45b + 1(-8 + 8z) = 0 35 + -45b + (-8 * 1 + 8z * 1) = 0 35 + -45b + (-8 + 8z) = 0 Reorder the terms: 35 + -8 + -45b + 8z = 0 Combine like terms: 35 + -8 = 27 27 + -45b + 8z = 0 Solving 27 + -45b + 8z = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -45b + -27 + 8z = 0 + -27 Reorder the terms: 27 + -27 + -45b + 8z = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -45b + 8z = 0 + -27 -45b + 8z = 0 + -27 Combine like terms: 0 + -27 = -27 -45b + 8z = -27 Add '-8z' to each side of the equation. -45b + 8z + -8z = -27 + -8z Combine like terms: 8z + -8z = 0 -45b + 0 = -27 + -8z -45b = -27 + -8z Divide each side by '-45'. b = 0.6 + 0.1777777778z Simplifying b = 0.6 + 0.1777777778z
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