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Simplifying -15 = -6 + 9(b + -3) Reorder the terms: -15 = -6 + 9(-3 + b) -15 = -6 + (-3 * 9 + b * 9) -15 = -6 + (-27 + 9b) Combine like terms: -6 + -27 = -33 -15 = -33 + 9b Solving -15 = -33 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. -15 + -9b = -33 + 9b + -9b Combine like terms: 9b + -9b = 0 -15 + -9b = -33 + 0 -15 + -9b = -33 Add '15' to each side of the equation. -15 + 15 + -9b = -33 + 15 Combine like terms: -15 + 15 = 0 0 + -9b = -33 + 15 -9b = -33 + 15 Combine like terms: -33 + 15 = -18 -9b = -18 Divide each side by '-9'. b = 2 Simplifying b = 2
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