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Simplifying -5(2b + 3) + (11b + -6) = 0 Reorder the terms: -5(3 + 2b) + (11b + -6) = 0 (3 * -5 + 2b * -5) + (11b + -6) = 0 (-15 + -10b) + (11b + -6) = 0 Reorder the terms: -15 + -10b + (-6 + 11b) = 0 Remove parenthesis around (-6 + 11b) -15 + -10b + -6 + 11b = 0 Reorder the terms: -15 + -6 + -10b + 11b = 0 Combine like terms: -15 + -6 = -21 -21 + -10b + 11b = 0 Combine like terms: -10b + 11b = 1b -21 + 1b = 0 Solving -21 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 1b = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 1b = 0 + 21 1b = 0 + 21 Combine like terms: 0 + 21 = 21 1b = 21 Divide each side by '1'. b = 21 Simplifying b = 21
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