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Simplifying 6(b + -7) = 8b + -42 Reorder the terms: 6(-7 + b) = 8b + -42 (-7 * 6 + b * 6) = 8b + -42 (-42 + 6b) = 8b + -42 Reorder the terms: -42 + 6b = -42 + 8b Add '42' to each side of the equation. -42 + 42 + 6b = -42 + 42 + 8b Combine like terms: -42 + 42 = 0 0 + 6b = -42 + 42 + 8b 6b = -42 + 42 + 8b Combine like terms: -42 + 42 = 0 6b = 0 + 8b 6b = 8b Solving 6b = 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 6b + -8b = 8b + -8b Combine like terms: 6b + -8b = -2b -2b = 8b + -8b Combine like terms: 8b + -8b = 0 -2b = 0 Divide each side by '-2'. b = 0 Simplifying b = 0
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