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Simplifying 0.2q + -7 + 29 = 3q + -5 Reorder the terms: -7 + 29 + 0.2q = 3q + -5 Combine like terms: -7 + 29 = 22 22 + 0.2q = 3q + -5 Reorder the terms: 22 + 0.2q = -5 + 3q Solving 22 + 0.2q = -5 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 22 + 0.2q + -3q = -5 + 3q + -3q Combine like terms: 0.2q + -3q = -2.8q 22 + -2.8q = -5 + 3q + -3q Combine like terms: 3q + -3q = 0 22 + -2.8q = -5 + 0 22 + -2.8q = -5 Add '-22' to each side of the equation. 22 + -22 + -2.8q = -5 + -22 Combine like terms: 22 + -22 = 0 0 + -2.8q = -5 + -22 -2.8q = -5 + -22 Combine like terms: -5 + -22 = -27 -2.8q = -27 Divide each side by '-2.8'. q = 9.642857143 Simplifying q = 9.642857143
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