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Simplifying -5(3b + 8) = 45 Reorder the terms: -5(8 + 3b) = 45 (8 * -5 + 3b * -5) = 45 (-40 + -15b) = 45 Solving -40 + -15b = 45 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -15b = 45 + 40 Combine like terms: -40 + 40 = 0 0 + -15b = 45 + 40 -15b = 45 + 40 Combine like terms: 45 + 40 = 85 -15b = 85 Divide each side by '-15'. b = -5.666666667 Simplifying b = -5.666666667
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