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Simplifying -1 + 3b = 7(7 + -1b) -1 + 3b = (7 * 7 + -1b * 7) -1 + 3b = (49 + -7b) Solving -1 + 3b = 49 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -1 + 3b + 7b = 49 + -7b + 7b Combine like terms: 3b + 7b = 10b -1 + 10b = 49 + -7b + 7b Combine like terms: -7b + 7b = 0 -1 + 10b = 49 + 0 -1 + 10b = 49 Add '1' to each side of the equation. -1 + 1 + 10b = 49 + 1 Combine like terms: -1 + 1 = 0 0 + 10b = 49 + 1 10b = 49 + 1 Combine like terms: 49 + 1 = 50 10b = 50 Divide each side by '10'. b = 5 Simplifying b = 5
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