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Simplifying 1 + 0.6(q + -4) = 0.49(q + 1) Reorder the terms: 1 + 0.6(-4 + q) = 0.49(q + 1) 1 + (-4 * 0.6 + q * 0.6) = 0.49(q + 1) 1 + (-2.4 + 0.6q) = 0.49(q + 1) Combine like terms: 1 + -2.4 = -1.4 -1.4 + 0.6q = 0.49(q + 1) Reorder the terms: -1.4 + 0.6q = 0.49(1 + q) -1.4 + 0.6q = (1 * 0.49 + q * 0.49) -1.4 + 0.6q = (0.49 + 0.49q) Solving -1.4 + 0.6q = 0.49 + 0.49q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.49q' to each side of the equation. -1.4 + 0.6q + -0.49q = 0.49 + 0.49q + -0.49q Combine like terms: 0.6q + -0.49q = 0.11q -1.4 + 0.11q = 0.49 + 0.49q + -0.49q Combine like terms: 0.49q + -0.49q = 0.00 -1.4 + 0.11q = 0.49 + 0.00 -1.4 + 0.11q = 0.49 Add '1.4' to each side of the equation. -1.4 + 1.4 + 0.11q = 0.49 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.11q = 0.49 + 1.4 0.11q = 0.49 + 1.4 Combine like terms: 0.49 + 1.4 = 1.89 0.11q = 1.89 Divide each side by '0.11'. q = 17.18181818 Simplifying q = 17.18181818
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