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Simplifying -5(4b + 8) + 3(1 + 5b) = -52 Reorder the terms: -5(8 + 4b) + 3(1 + 5b) = -52 (8 * -5 + 4b * -5) + 3(1 + 5b) = -52 (-40 + -20b) + 3(1 + 5b) = -52 -40 + -20b + (1 * 3 + 5b * 3) = -52 -40 + -20b + (3 + 15b) = -52 Reorder the terms: -40 + 3 + -20b + 15b = -52 Combine like terms: -40 + 3 = -37 -37 + -20b + 15b = -52 Combine like terms: -20b + 15b = -5b -37 + -5b = -52 Solving -37 + -5b = -52 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -5b = -52 + 37 Combine like terms: -37 + 37 = 0 0 + -5b = -52 + 37 -5b = -52 + 37 Combine like terms: -52 + 37 = -15 -5b = -15 Divide each side by '-5'. b = 3 Simplifying b = 3
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