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Simplifying -1(3g + 3h) + 5(2m + -1z) = 0 (3g * -1 + 3h * -1) + 5(2m + -1z) = 0 (-3g + -3h) + 5(2m + -1z) = 0 -3g + -3h + (2m * 5 + -1z * 5) = 0 -3g + -3h + (10m + -5z) = 0 Solving -3g + -3h + 10m + -5z = 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. -3g + -3h + 10m + 3h + -5z = 0 + 3h Reorder the terms: -3g + -3h + 3h + 10m + -5z = 0 + 3h Combine like terms: -3h + 3h = 0 -3g + 0 + 10m + -5z = 0 + 3h -3g + 10m + -5z = 0 + 3h Remove the zero: -3g + 10m + -5z = 3h Add '-10m' to each side of the equation. -3g + 10m + -10m + -5z = 3h + -10m Combine like terms: 10m + -10m = 0 -3g + 0 + -5z = 3h + -10m -3g + -5z = 3h + -10m Add '5z' to each side of the equation. -3g + -5z + 5z = 3h + -10m + 5z Combine like terms: -5z + 5z = 0 -3g + 0 = 3h + -10m + 5z -3g = 3h + -10m + 5z Divide each side by '-3'. g = -1h + 3.333333333m + -1.666666667z Simplifying g = -1h + 3.333333333m + -1.666666667z
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