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Simplifying 2x + -7y + 3z + -5t = -2 Reorder the terms: -5t + 2x + -7y + 3z = -2 Solving -5t + 2x + -7y + 3z = -2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2x' to each side of the equation. -5t + 2x + -7y + -2x + 3z = -2 + -2x Reorder the terms: -5t + 2x + -2x + -7y + 3z = -2 + -2x Combine like terms: 2x + -2x = 0 -5t + 0 + -7y + 3z = -2 + -2x -5t + -7y + 3z = -2 + -2x Add '7y' to each side of the equation. -5t + -7y + 7y + 3z = -2 + -2x + 7y Combine like terms: -7y + 7y = 0 -5t + 0 + 3z = -2 + -2x + 7y -5t + 3z = -2 + -2x + 7y Add '-3z' to each side of the equation. -5t + 3z + -3z = -2 + -2x + 7y + -3z Combine like terms: 3z + -3z = 0 -5t + 0 = -2 + -2x + 7y + -3z -5t = -2 + -2x + 7y + -3z Divide each side by '-5'. t = 0.4 + 0.4x + -1.4y + 0.6z Simplifying t = 0.4 + 0.4x + -1.4y + 0.6z
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