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Simplifying 45q + -2 = 65q + -62 Reorder the terms: -2 + 45q = 65q + -62 Reorder the terms: -2 + 45q = -62 + 65q Solving -2 + 45q = -62 + 65q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-65q' to each side of the equation. -2 + 45q + -65q = -62 + 65q + -65q Combine like terms: 45q + -65q = -20q -2 + -20q = -62 + 65q + -65q Combine like terms: 65q + -65q = 0 -2 + -20q = -62 + 0 -2 + -20q = -62 Add '2' to each side of the equation. -2 + 2 + -20q = -62 + 2 Combine like terms: -2 + 2 = 0 0 + -20q = -62 + 2 -20q = -62 + 2 Combine like terms: -62 + 2 = -60 -20q = -60 Divide each side by '-20'. q = 3 Simplifying q = 3
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