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Simplifying 22 = 7(-6) + b Multiply 7 * -6 22 = -42 + b Solving 22 = -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. 22 + -1b = -42 + b + -1b Combine like terms: b + -1b = 0 22 + -1b = -42 + 0 22 + -1b = -42 Add '-22' to each side of the equation. 22 + -22 + -1b = -42 + -22 Combine like terms: 22 + -22 = 0 0 + -1b = -42 + -22 -1b = -42 + -22 Combine like terms: -42 + -22 = -64 -1b = -64 Divide each side by '-1'. b = 64 Simplifying b = 64
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