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Simplifying 1 + 0.6(q + -4) = 0.4(q + 1) Reorder the terms: 1 + 0.6(-4 + q) = 0.4(q + 1) 1 + (-4 * 0.6 + q * 0.6) = 0.4(q + 1) 1 + (-2.4 + 0.6q) = 0.4(q + 1) Combine like terms: 1 + -2.4 = -1.4 -1.4 + 0.6q = 0.4(q + 1) Reorder the terms: -1.4 + 0.6q = 0.4(1 + q) -1.4 + 0.6q = (1 * 0.4 + q * 0.4) -1.4 + 0.6q = (0.4 + 0.4q) Solving -1.4 + 0.6q = 0.4 + 0.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.4q' to each side of the equation. -1.4 + 0.6q + -0.4q = 0.4 + 0.4q + -0.4q Combine like terms: 0.6q + -0.4q = 0.2q -1.4 + 0.2q = 0.4 + 0.4q + -0.4q Combine like terms: 0.4q + -0.4q = 0.0 -1.4 + 0.2q = 0.4 + 0.0 -1.4 + 0.2q = 0.4 Add '1.4' to each side of the equation. -1.4 + 1.4 + 0.2q = 0.4 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.2q = 0.4 + 1.4 0.2q = 0.4 + 1.4 Combine like terms: 0.4 + 1.4 = 1.8 0.2q = 1.8 Divide each side by '0.2'. q = 9 Simplifying q = 9
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