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Simplifying -4 + 7q = 8q + -7 + -3 Reorder the terms: -4 + 7q = -7 + -3 + 8q Combine like terms: -7 + -3 = -10 -4 + 7q = -10 + 8q Solving -4 + 7q = -10 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -4 + 7q + -8q = -10 + 8q + -8q Combine like terms: 7q + -8q = -1q -4 + -1q = -10 + 8q + -8q Combine like terms: 8q + -8q = 0 -4 + -1q = -10 + 0 -4 + -1q = -10 Add '4' to each side of the equation. -4 + 4 + -1q = -10 + 4 Combine like terms: -4 + 4 = 0 0 + -1q = -10 + 4 -1q = -10 + 4 Combine like terms: -10 + 4 = -6 -1q = -6 Divide each side by '-1'. q = 6 Simplifying q = 6
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