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Simplifying 65 = q + 7 + -6 + 11 Reorder the terms: 65 = 7 + -6 + 11 + q Combine like terms: 7 + -6 = 1 65 = 1 + 11 + q Combine like terms: 1 + 11 = 12 65 = 12 + q Solving 65 = 12 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 65 + -1q = 12 + q + -1q Combine like terms: q + -1q = 0 65 + -1q = 12 + 0 65 + -1q = 12 Add '-65' to each side of the equation. 65 + -65 + -1q = 12 + -65 Combine like terms: 65 + -65 = 0 0 + -1q = 12 + -65 -1q = 12 + -65 Combine like terms: 12 + -65 = -53 -1q = -53 Divide each side by '-1'. q = 53 Simplifying q = 53
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