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Simplifying 6b + -9 = 3(1 + 6b) Reorder the terms: -9 + 6b = 3(1 + 6b) -9 + 6b = (1 * 3 + 6b * 3) -9 + 6b = (3 + 18b) Solving -9 + 6b = 3 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. -9 + 6b + -18b = 3 + 18b + -18b Combine like terms: 6b + -18b = -12b -9 + -12b = 3 + 18b + -18b Combine like terms: 18b + -18b = 0 -9 + -12b = 3 + 0 -9 + -12b = 3 Add '9' to each side of the equation. -9 + 9 + -12b = 3 + 9 Combine like terms: -9 + 9 = 0 0 + -12b = 3 + 9 -12b = 3 + 9 Combine like terms: 3 + 9 = 12 -12b = 12 Divide each side by '-12'. b = -1 Simplifying b = -1
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