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Simplifying -80 = 8(b + -5) + -10(b + 6) Reorder the terms: -80 = 8(-5 + b) + -10(b + 6) -80 = (-5 * 8 + b * 8) + -10(b + 6) -80 = (-40 + 8b) + -10(b + 6) Reorder the terms: -80 = -40 + 8b + -10(6 + b) -80 = -40 + 8b + (6 * -10 + b * -10) -80 = -40 + 8b + (-60 + -10b) Reorder the terms: -80 = -40 + -60 + 8b + -10b Combine like terms: -40 + -60 = -100 -80 = -100 + 8b + -10b Combine like terms: 8b + -10b = -2b -80 = -100 + -2b Solving -80 = -100 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -80 + 2b = -100 + -2b + 2b Combine like terms: -2b + 2b = 0 -80 + 2b = -100 + 0 -80 + 2b = -100 Add '80' to each side of the equation. -80 + 80 + 2b = -100 + 80 Combine like terms: -80 + 80 = 0 0 + 2b = -100 + 80 2b = -100 + 80 Combine like terms: -100 + 80 = -20 2b = -20 Divide each side by '2'. b = -10 Simplifying b = -10
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