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Simplifying 4 = 6(7) + b Multiply 6 * 7 4 = 42 + b Solving 4 = 42 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 4 + -1b = 42 + b + -1b Combine like terms: b + -1b = 0 4 + -1b = 42 + 0 4 + -1b = 42 Add '-4' to each side of the equation. 4 + -4 + -1b = 42 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = 42 + -4 -1b = 42 + -4 Combine like terms: 42 + -4 = 38 -1b = 38 Divide each side by '-1'. b = -38 Simplifying b = -38
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