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Simplifying 7 = 7(5 + -2b) 7 = (5 * 7 + -2b * 7) 7 = (35 + -14b) Solving 7 = 35 + -14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. 7 + 14b = 35 + -14b + 14b Combine like terms: -14b + 14b = 0 7 + 14b = 35 + 0 7 + 14b = 35 Add '-7' to each side of the equation. 7 + -7 + 14b = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 14b = 35 + -7 14b = 35 + -7 Combine like terms: 35 + -7 = 28 14b = 28 Divide each side by '14'. b = 2 Simplifying b = 2
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