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Simplifying 5b + 30 = 5(8b + -1) Reorder the terms: 30 + 5b = 5(8b + -1) Reorder the terms: 30 + 5b = 5(-1 + 8b) 30 + 5b = (-1 * 5 + 8b * 5) 30 + 5b = (-5 + 40b) Solving 30 + 5b = -5 + 40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-40b' to each side of the equation. 30 + 5b + -40b = -5 + 40b + -40b Combine like terms: 5b + -40b = -35b 30 + -35b = -5 + 40b + -40b Combine like terms: 40b + -40b = 0 30 + -35b = -5 + 0 30 + -35b = -5 Add '-30' to each side of the equation. 30 + -30 + -35b = -5 + -30 Combine like terms: 30 + -30 = 0 0 + -35b = -5 + -30 -35b = -5 + -30 Combine like terms: -5 + -30 = -35 -35b = -35 Divide each side by '-35'. b = 1 Simplifying b = 1
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