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Simplifying 4q + -15 = 6q + 14 Reorder the terms: -15 + 4q = 6q + 14 Reorder the terms: -15 + 4q = 14 + 6q Solving -15 + 4q = 14 + 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. -15 + 4q + -6q = 14 + 6q + -6q Combine like terms: 4q + -6q = -2q -15 + -2q = 14 + 6q + -6q Combine like terms: 6q + -6q = 0 -15 + -2q = 14 + 0 -15 + -2q = 14 Add '15' to each side of the equation. -15 + 15 + -2q = 14 + 15 Combine like terms: -15 + 15 = 0 0 + -2q = 14 + 15 -2q = 14 + 15 Combine like terms: 14 + 15 = 29 -2q = 29 Divide each side by '-2'. q = -14.5 Simplifying q = -14.5
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