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Simplifying 7 = 2q + -0.3(-3q + 3) Reorder the terms: 7 = 2q + -0.3(3 + -3q) 7 = 2q + (3 * -0.3 + -3q * -0.3) 7 = 2q + (-0.9 + 0.9q) Reorder the terms: 7 = -0.9 + 2q + 0.9q Combine like terms: 2q + 0.9q = 2.9q 7 = -0.9 + 2.9q Solving 7 = -0.9 + 2.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.9q' to each side of the equation. 7 + -2.9q = -0.9 + 2.9q + -2.9q Combine like terms: 2.9q + -2.9q = 0.0 7 + -2.9q = -0.9 + 0.0 7 + -2.9q = -0.9 Add '-7' to each side of the equation. 7 + -7 + -2.9q = -0.9 + -7 Combine like terms: 7 + -7 = 0 0 + -2.9q = -0.9 + -7 -2.9q = -0.9 + -7 Combine like terms: -0.9 + -7 = -7.9 -2.9q = -7.9 Divide each side by '-2.9'. q = 2.724137931 Simplifying q = 2.724137931
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