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Simplifying 10g + -1(1 + -4g) + -1s = 5 10g + (1 * -1 + -4g * -1) + -1s = 5 10g + (-1 + 4g) + -1s = 5 Reorder the terms: -1 + 10g + 4g + -1s = 5 Combine like terms: 10g + 4g = 14g -1 + 14g + -1s = 5 Solving -1 + 14g + -1s = 5 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 14g + 1 + -1s = 5 + 1 Reorder the terms: -1 + 1 + 14g + -1s = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 14g + -1s = 5 + 1 14g + -1s = 5 + 1 Combine like terms: 5 + 1 = 6 14g + -1s = 6 Add 's' to each side of the equation. 14g + -1s + s = 6 + s Combine like terms: -1s + s = 0 14g + 0 = 6 + s 14g = 6 + s Divide each side by '14'. g = 0.4285714286 + 0.07142857143s Simplifying g = 0.4285714286 + 0.07142857143s
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