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Simplifying 258 = -6(-8 + 7b) 258 = (-8 * -6 + 7b * -6) 258 = (48 + -42b) Solving 258 = 48 + -42b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '42b' to each side of the equation. 258 + 42b = 48 + -42b + 42b Combine like terms: -42b + 42b = 0 258 + 42b = 48 + 0 258 + 42b = 48 Add '-258' to each side of the equation. 258 + -258 + 42b = 48 + -258 Combine like terms: 258 + -258 = 0 0 + 42b = 48 + -258 42b = 48 + -258 Combine like terms: 48 + -258 = -210 42b = -210 Divide each side by '42'. b = -5 Simplifying b = -5
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