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Simplifying -142 = 3(-8 + 6b) + 8 -142 = (-8 * 3 + 6b * 3) + 8 -142 = (-24 + 18b) + 8 Reorder the terms: -142 = -24 + 8 + 18b Combine like terms: -24 + 8 = -16 -142 = -16 + 18b Solving -142 = -16 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. -142 + -18b = -16 + 18b + -18b Combine like terms: 18b + -18b = 0 -142 + -18b = -16 + 0 -142 + -18b = -16 Add '142' to each side of the equation. -142 + 142 + -18b = -16 + 142 Combine like terms: -142 + 142 = 0 0 + -18b = -16 + 142 -18b = -16 + 142 Combine like terms: -16 + 142 = 126 -18b = 126 Divide each side by '-18'. b = -7 Simplifying b = -7
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