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Simplifying 175 = 7(3q + 1) Reorder the terms: 175 = 7(1 + 3q) 175 = (1 * 7 + 3q * 7) 175 = (7 + 21q) Solving 175 = 7 + 21q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-21q' to each side of the equation. 175 + -21q = 7 + 21q + -21q Combine like terms: 21q + -21q = 0 175 + -21q = 7 + 0 175 + -21q = 7 Add '-175' to each side of the equation. 175 + -175 + -21q = 7 + -175 Combine like terms: 175 + -175 = 0 0 + -21q = 7 + -175 -21q = 7 + -175 Combine like terms: 7 + -175 = -168 -21q = -168 Divide each side by '-21'. q = 8 Simplifying q = 8
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