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Simplifying 175 = 7(3b + 1) + 7b Reorder the terms: 175 = 7(1 + 3b) + 7b 175 = (1 * 7 + 3b * 7) + 7b 175 = (7 + 21b) + 7b Combine like terms: 21b + 7b = 28b 175 = 7 + 28b Solving 175 = 7 + 28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28b' to each side of the equation. 175 + -28b = 7 + 28b + -28b Combine like terms: 28b + -28b = 0 175 + -28b = 7 + 0 175 + -28b = 7 Add '-175' to each side of the equation. 175 + -175 + -28b = 7 + -175 Combine like terms: 175 + -175 = 0 0 + -28b = 7 + -175 -28b = 7 + -175 Combine like terms: 7 + -175 = -168 -28b = -168 Divide each side by '-28'. b = 6 Simplifying b = 6
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