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Simplifying q + -21 = 2q + -53 Reorder the terms: -21 + q = 2q + -53 Reorder the terms: -21 + q = -53 + 2q Solving -21 + q = -53 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -21 + q + -2q = -53 + 2q + -2q Combine like terms: q + -2q = -1q -21 + -1q = -53 + 2q + -2q Combine like terms: 2q + -2q = 0 -21 + -1q = -53 + 0 -21 + -1q = -53 Add '21' to each side of the equation. -21 + 21 + -1q = -53 + 21 Combine like terms: -21 + 21 = 0 0 + -1q = -53 + 21 -1q = -53 + 21 Combine like terms: -53 + 21 = -32 -1q = -32 Divide each side by '-1'. q = 32 Simplifying q = 32
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