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Simplifying 4q + 10 = 6q + 15 Reorder the terms: 10 + 4q = 6q + 15 Reorder the terms: 10 + 4q = 15 + 6q Solving 10 + 4q = 15 + 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. 10 + 4q + -6q = 15 + 6q + -6q Combine like terms: 4q + -6q = -2q 10 + -2q = 15 + 6q + -6q Combine like terms: 6q + -6q = 0 10 + -2q = 15 + 0 10 + -2q = 15 Add '-10' to each side of the equation. 10 + -10 + -2q = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -2q = 15 + -10 -2q = 15 + -10 Combine like terms: 15 + -10 = 5 -2q = 5 Divide each side by '-2'. q = -2.5 Simplifying q = -2.5
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