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Simplifying 3y + 4(x + t) = 0 Reorder the terms: 3y + 4(t + x) = 0 3y + (t * 4 + x * 4) = 0 3y + (4t + 4x) = 0 Reorder the terms: 4t + 4x + 3y = 0 Solving 4t + 4x + 3y = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4x' to each side of the equation. 4t + 4x + -4x + 3y = 0 + -4x Combine like terms: 4x + -4x = 0 4t + 0 + 3y = 0 + -4x 4t + 3y = 0 + -4x Remove the zero: 4t + 3y = -4x Add '-3y' to each side of the equation. 4t + 3y + -3y = -4x + -3y Combine like terms: 3y + -3y = 0 4t + 0 = -4x + -3y 4t = -4x + -3y Divide each side by '4'. t = -1x + -0.75y Simplifying t = -1x + -0.75y
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