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Simplifying 7(25 + -1q) + -2q = 2(3q + -25) (25 * 7 + -1q * 7) + -2q = 2(3q + -25) (175 + -7q) + -2q = 2(3q + -25) Combine like terms: -7q + -2q = -9q 175 + -9q = 2(3q + -25) Reorder the terms: 175 + -9q = 2(-25 + 3q) 175 + -9q = (-25 * 2 + 3q * 2) 175 + -9q = (-50 + 6q) Solving 175 + -9q = -50 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 175 + -9q + -6q = -50 + 6q + -6q Combine like terms: -9q + -6q = -15q 175 + -15q = -50 + 6q + -6q Combine like terms: 6q + -6q = 0 175 + -15q = -50 + 0 175 + -15q = -50 Add '-175' to each side of the equation. 175 + -175 + -15q = -50 + -175 Combine like terms: 175 + -175 = 0 0 + -15q = -50 + -175 -15q = -50 + -175 Combine like terms: -50 + -175 = -225 -15q = -225 Divide each side by '-15'. q = 15 Simplifying q = 15
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