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Simplifying 1 = 10(7) + b Multiply 10 * 7 1 = 70 + b Solving 1 = 70 + 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. 1 + -1b = 70 + b + -1b Combine like terms: b + -1b = 0 1 + -1b = 70 + 0 1 + -1b = 70 Add '-1' to each side of the equation. 1 + -1 + -1b = 70 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = 70 + -1 -1b = 70 + -1 Combine like terms: 70 + -1 = 69 -1b = 69 Divide each side by '-1'. b = -69 Simplifying b = -69
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