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Simplifying -23 = -5(7b + 3) Reorder the terms: -23 = -5(3 + 7b) -23 = (3 * -5 + 7b * -5) -23 = (-15 + -35b) Solving -23 = -15 + -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. -23 + 35b = -15 + -35b + 35b Combine like terms: -35b + 35b = 0 -23 + 35b = -15 + 0 -23 + 35b = -15 Add '23' to each side of the equation. -23 + 23 + 35b = -15 + 23 Combine like terms: -23 + 23 = 0 0 + 35b = -15 + 23 35b = -15 + 23 Combine like terms: -15 + 23 = 8 35b = 8 Divide each side by '35'. b = 0.2285714286 Simplifying b = 0.2285714286
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