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Simplifying -89 = 5(7b + 4) + -4 Reorder the terms: -89 = 5(4 + 7b) + -4 -89 = (4 * 5 + 7b * 5) + -4 -89 = (20 + 35b) + -4 Reorder the terms: -89 = 20 + -4 + 35b Combine like terms: 20 + -4 = 16 -89 = 16 + 35b Solving -89 = 16 + 35b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-35b' to each side of the equation. -89 + -35b = 16 + 35b + -35b Combine like terms: 35b + -35b = 0 -89 + -35b = 16 + 0 -89 + -35b = 16 Add '89' to each side of the equation. -89 + 89 + -35b = 16 + 89 Combine like terms: -89 + 89 = 0 0 + -35b = 16 + 89 -35b = 16 + 89 Combine like terms: 16 + 89 = 105 -35b = 105 Divide each side by '-35'. b = -3 Simplifying b = -3
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