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Simplifying 5g(4x + -1s) + 7y = 3(4z + -7X) Reorder the terms: 5g(-1s + 4x) + 7y = 3(4z + -7X) (-1s * 5g + 4x * 5g) + 7y = 3(4z + -7X) (-5gs + 20gx) + 7y = 3(4z + -7X) Reorder the terms: -5gs + 20gx + 7y = 3(-7X + 4z) -5gs + 20gx + 7y = (-7X * 3 + 4z * 3) -5gs + 20gx + 7y = (-21X + 12z) Solving -5gs + 20gx + 7y = -21X + 12z Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7y' to each side of the equation. -5gs + 20gx + 7y + -7y = -21X + -7y + 12z Combine like terms: 7y + -7y = 0 -5gs + 20gx + 0 = -21X + -7y + 12z -5gs + 20gx = -21X + -7y + 12z Reorder the terms: 21X + -5gs + 20gx + 7y + -12z = -21X + -7y + 12z + 21X + 7y + -12z Reorder the terms: 21X + -5gs + 20gx + 7y + -12z = -21X + 21X + -7y + 7y + 12z + -12z Combine like terms: -21X + 21X = 0 21X + -5gs + 20gx + 7y + -12z = 0 + -7y + 7y + 12z + -12z 21X + -5gs + 20gx + 7y + -12z = -7y + 7y + 12z + -12z Combine like terms: -7y + 7y = 0 21X + -5gs + 20gx + 7y + -12z = 0 + 12z + -12z 21X + -5gs + 20gx + 7y + -12z = 12z + -12z Combine like terms: 12z + -12z = 0 21X + -5gs + 20gx + 7y + -12z = 0 The solution to this equation could not be determined.
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