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Simplifying 1x + 5y + 10w + 25q = 100 Reorder the terms: 25q + 10w + 1x + 5y = 100 Solving 25q + 10w + 1x + 5y = 100 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10w' to each side of the equation. 25q + 10w + 1x + -10w + 5y = 100 + -10w Reorder the terms: 25q + 10w + -10w + 1x + 5y = 100 + -10w Combine like terms: 10w + -10w = 0 25q + 0 + 1x + 5y = 100 + -10w 25q + 1x + 5y = 100 + -10w Add '-1x' to each side of the equation. 25q + 1x + -1x + 5y = 100 + -10w + -1x Combine like terms: 1x + -1x = 0 25q + 0 + 5y = 100 + -10w + -1x 25q + 5y = 100 + -10w + -1x Add '-5y' to each side of the equation. 25q + 5y + -5y = 100 + -10w + -1x + -5y Combine like terms: 5y + -5y = 0 25q + 0 = 100 + -10w + -1x + -5y 25q = 100 + -10w + -1x + -5y Divide each side by '25'. q = 4 + -0.4w + -0.04x + -0.2y Simplifying q = 4 + -0.4w + -0.04x + -0.2y
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