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Simplifying 14q + -37 = 21q + -100 Reorder the terms: -37 + 14q = 21q + -100 Reorder the terms: -37 + 14q = -100 + 21q Solving -37 + 14q = -100 + 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. -37 + 14q + -21q = -100 + 21q + -21q Combine like terms: 14q + -21q = -7q -37 + -7q = -100 + 21q + -21q Combine like terms: 21q + -21q = 0 -37 + -7q = -100 + 0 -37 + -7q = -100 Add '37' to each side of the equation. -37 + 37 + -7q = -100 + 37 Combine like terms: -37 + 37 = 0 0 + -7q = -100 + 37 -7q = -100 + 37 Combine like terms: -100 + 37 = -63 -7q = -63 Divide each side by '-7'. q = 9 Simplifying q = 9
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