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Simplifying 5g + 3h + -1(5g) + -2g + 6k = 0 Remove parenthesis around (5g) 5g + 3h + -1 * 5g + -2g + 6k = 0 Multiply -1 * 5 5g + 3h + -5g + -2g + 6k = 0 Reorder the terms: 5g + -5g + -2g + 3h + 6k = 0 Combine like terms: 5g + -5g = 0 0 + -2g + 3h + 6k = 0 -2g + 3h + 6k = 0 Solving -2g + 3h + 6k = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3h' to each side of the equation. -2g + 3h + -3h + 6k = 0 + -3h Combine like terms: 3h + -3h = 0 -2g + 0 + 6k = 0 + -3h -2g + 6k = 0 + -3h Remove the zero: -2g + 6k = -3h Add '-6k' to each side of the equation. -2g + 6k + -6k = -3h + -6k Combine like terms: 6k + -6k = 0 -2g + 0 = -3h + -6k -2g = -3h + -6k Divide each side by '-2'. g = 1.5h + 3k Simplifying g = 1.5h + 3k
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