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Simplifying 49q + -89q + 59q + 8q + 14q + -18 = 100 Reorder the terms: -18 + 49q + -89q + 59q + 8q + 14q = 100 Combine like terms: 49q + -89q = -40q -18 + -40q + 59q + 8q + 14q = 100 Combine like terms: -40q + 59q = 19q -18 + 19q + 8q + 14q = 100 Combine like terms: 19q + 8q = 27q -18 + 27q + 14q = 100 Combine like terms: 27q + 14q = 41q -18 + 41q = 100 Solving -18 + 41q = 100 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 41q = 100 + 18 Combine like terms: -18 + 18 = 0 0 + 41q = 100 + 18 41q = 100 + 18 Combine like terms: 100 + 18 = 118 41q = 118 Divide each side by '41'. q = 2.87804878 Simplifying q = 2.87804878
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