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Simplifying 9(4b + -7) = -30 + 6b Reorder the terms: 9(-7 + 4b) = -30 + 6b (-7 * 9 + 4b * 9) = -30 + 6b (-63 + 36b) = -30 + 6b Solving -63 + 36b = -30 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -63 + 36b + -6b = -30 + 6b + -6b Combine like terms: 36b + -6b = 30b -63 + 30b = -30 + 6b + -6b Combine like terms: 6b + -6b = 0 -63 + 30b = -30 + 0 -63 + 30b = -30 Add '63' to each side of the equation. -63 + 63 + 30b = -30 + 63 Combine like terms: -63 + 63 = 0 0 + 30b = -30 + 63 30b = -30 + 63 Combine like terms: -30 + 63 = 33 30b = 33 Divide each side by '30'. b = 1.1 Simplifying b = 1.1
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