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Simplifying 5(x + -2y) + -1t(x + -2y) = (x + -2y) (x * 5 + -2y * 5) + -1t(x + -2y) = (x + -2y) (5x + -10y) + -1t(x + -2y) = (x + -2y) 5x + -10y + (x * -1t + -2y * -1t) = (x + -2y) 5x + -10y + (-1tx + 2ty) = (x + -2y) Reorder the terms: -1tx + 2ty + 5x + -10y = (x + -2y) Remove parenthesis around (x + -2y) -1tx + 2ty + 5x + -10y = x + -2y Solving -1tx + 2ty + 5x + -10y = x + -2y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5x' to each side of the equation. -1tx + 2ty + 5x + -5x + -10y = x + -5x + -2y Combine like terms: 5x + -5x = 0 -1tx + 2ty + 0 + -10y = x + -5x + -2y -1tx + 2ty + -10y = x + -5x + -2y Combine like terms: x + -5x = -4x -1tx + 2ty + -10y = -4x + -2y Add '10y' to each side of the equation. -1tx + 2ty + -10y + 10y = -4x + -2y + 10y Combine like terms: -10y + 10y = 0 -1tx + 2ty + 0 = -4x + -2y + 10y -1tx + 2ty = -4x + -2y + 10y Combine like terms: -2y + 10y = 8y -1tx + 2ty = -4x + 8y Reorder the terms: -1tx + 2ty + 4x + -8y = -4x + 4x + 8y + -8y Combine like terms: -4x + 4x = 0 -1tx + 2ty + 4x + -8y = 0 + 8y + -8y -1tx + 2ty + 4x + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 -1tx + 2ty + 4x + -8y = 0 The solution to this equation could not be determined.
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