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Simplifying -5b + 10 = -5(8 + 3b) Reorder the terms: 10 + -5b = -5(8 + 3b) 10 + -5b = (8 * -5 + 3b * -5) 10 + -5b = (-40 + -15b) Solving 10 + -5b = -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. 10 + -5b + 15b = -40 + -15b + 15b Combine like terms: -5b + 15b = 10b 10 + 10b = -40 + -15b + 15b Combine like terms: -15b + 15b = 0 10 + 10b = -40 + 0 10 + 10b = -40 Add '-10' to each side of the equation. 10 + -10 + 10b = -40 + -10 Combine like terms: 10 + -10 = 0 0 + 10b = -40 + -10 10b = -40 + -10 Combine like terms: -40 + -10 = -50 10b = -50 Divide each side by '10'. b = -5 Simplifying b = -5
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