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Simplifying -5(b + 8) = -33 + -6b Reorder the terms: -5(8 + b) = -33 + -6b (8 * -5 + b * -5) = -33 + -6b (-40 + -5b) = -33 + -6b Solving -40 + -5b = -33 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -40 + -5b + 6b = -33 + -6b + 6b Combine like terms: -5b + 6b = 1b -40 + 1b = -33 + -6b + 6b Combine like terms: -6b + 6b = 0 -40 + 1b = -33 + 0 -40 + 1b = -33 Add '40' to each side of the equation. -40 + 40 + 1b = -33 + 40 Combine like terms: -40 + 40 = 0 0 + 1b = -33 + 40 1b = -33 + 40 Combine like terms: -33 + 40 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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