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Simplifying -145 = 5(3b + -8) Reorder the terms: -145 = 5(-8 + 3b) -145 = (-8 * 5 + 3b * 5) -145 = (-40 + 15b) Solving -145 = -40 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. -145 + -15b = -40 + 15b + -15b Combine like terms: 15b + -15b = 0 -145 + -15b = -40 + 0 -145 + -15b = -40 Add '145' to each side of the equation. -145 + 145 + -15b = -40 + 145 Combine like terms: -145 + 145 = 0 0 + -15b = -40 + 145 -15b = -40 + 145 Combine like terms: -40 + 145 = 105 -15b = 105 Divide each side by '-15'. b = -7 Simplifying b = -7
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