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Simplifying 3(3b + -4) = 8b + -11 Reorder the terms: 3(-4 + 3b) = 8b + -11 (-4 * 3 + 3b * 3) = 8b + -11 (-12 + 9b) = 8b + -11 Reorder the terms: -12 + 9b = -11 + 8b Solving -12 + 9b = -11 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -12 + 9b + -8b = -11 + 8b + -8b Combine like terms: 9b + -8b = 1b -12 + 1b = -11 + 8b + -8b Combine like terms: 8b + -8b = 0 -12 + 1b = -11 + 0 -12 + 1b = -11 Add '12' to each side of the equation. -12 + 12 + 1b = -11 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = -11 + 12 1b = -11 + 12 Combine like terms: -11 + 12 = 1 1b = 1 Divide each side by '1'. b = 1 Simplifying b = 1
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