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Simplifying 3(2b + -3) + -9b = -4b + -6 Reorder the terms: 3(-3 + 2b) + -9b = -4b + -6 (-3 * 3 + 2b * 3) + -9b = -4b + -6 (-9 + 6b) + -9b = -4b + -6 Combine like terms: 6b + -9b = -3b -9 + -3b = -4b + -6 Reorder the terms: -9 + -3b = -6 + -4b Solving -9 + -3b = -6 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -9 + -3b + 4b = -6 + -4b + 4b Combine like terms: -3b + 4b = 1b -9 + 1b = -6 + -4b + 4b Combine like terms: -4b + 4b = 0 -9 + 1b = -6 + 0 -9 + 1b = -6 Add '9' to each side of the equation. -9 + 9 + 1b = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 1b = -6 + 9 1b = -6 + 9 Combine like terms: -6 + 9 = 3 1b = 3 Divide each side by '1'. b = 3 Simplifying b = 3
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