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Simplifying 3(2b + -5) = 2b + -11 Reorder the terms: 3(-5 + 2b) = 2b + -11 (-5 * 3 + 2b * 3) = 2b + -11 (-15 + 6b) = 2b + -11 Reorder the terms: -15 + 6b = -11 + 2b Solving -15 + 6b = -11 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -15 + 6b + -2b = -11 + 2b + -2b Combine like terms: 6b + -2b = 4b -15 + 4b = -11 + 2b + -2b Combine like terms: 2b + -2b = 0 -15 + 4b = -11 + 0 -15 + 4b = -11 Add '15' to each side of the equation. -15 + 15 + 4b = -11 + 15 Combine like terms: -15 + 15 = 0 0 + 4b = -11 + 15 4b = -11 + 15 Combine like terms: -11 + 15 = 4 4b = 4 Divide each side by '4'. b = 1 Simplifying b = 1
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