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Simplifying -9(2b + 7) + 9 = -15b + 6 Reorder the terms: -9(7 + 2b) + 9 = -15b + 6 (7 * -9 + 2b * -9) + 9 = -15b + 6 (-63 + -18b) + 9 = -15b + 6 Reorder the terms: -63 + 9 + -18b = -15b + 6 Combine like terms: -63 + 9 = -54 -54 + -18b = -15b + 6 Reorder the terms: -54 + -18b = 6 + -15b Solving -54 + -18b = 6 + -15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15b' to each side of the equation. -54 + -18b + 15b = 6 + -15b + 15b Combine like terms: -18b + 15b = -3b -54 + -3b = 6 + -15b + 15b Combine like terms: -15b + 15b = 0 -54 + -3b = 6 + 0 -54 + -3b = 6 Add '54' to each side of the equation. -54 + 54 + -3b = 6 + 54 Combine like terms: -54 + 54 = 0 0 + -3b = 6 + 54 -3b = 6 + 54 Combine like terms: 6 + 54 = 60 -3b = 60 Divide each side by '-3'. b = -20 Simplifying b = -20
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