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Simplifying 4q + 38 = 7q + -21 Reorder the terms: 38 + 4q = 7q + -21 Reorder the terms: 38 + 4q = -21 + 7q Solving 38 + 4q = -21 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. 38 + 4q + -7q = -21 + 7q + -7q Combine like terms: 4q + -7q = -3q 38 + -3q = -21 + 7q + -7q Combine like terms: 7q + -7q = 0 38 + -3q = -21 + 0 38 + -3q = -21 Add '-38' to each side of the equation. 38 + -38 + -3q = -21 + -38 Combine like terms: 38 + -38 = 0 0 + -3q = -21 + -38 -3q = -21 + -38 Combine like terms: -21 + -38 = -59 -3q = -59 Divide each side by '-3'. q = 19.66666667 Simplifying q = 19.66666667
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