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Simplifying -8 + 6(6x + -1t) = -38 + 4x Reorder the terms: -8 + 6(-1t + 6x) = -38 + 4x -8 + (-1t * 6 + 6x * 6) = -38 + 4x -8 + (-6t + 36x) = -38 + 4x Solving -8 + -6t + 36x = -38 + 4x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -6t + 8 + 36x = -38 + 8 + 4x Reorder the terms: -8 + 8 + -6t + 36x = -38 + 8 + 4x Combine like terms: -8 + 8 = 0 0 + -6t + 36x = -38 + 8 + 4x -6t + 36x = -38 + 8 + 4x Combine like terms: -38 + 8 = -30 -6t + 36x = -30 + 4x Add '-36x' to each side of the equation. -6t + 36x + -36x = -30 + 4x + -36x Combine like terms: 36x + -36x = 0 -6t + 0 = -30 + 4x + -36x -6t = -30 + 4x + -36x Combine like terms: 4x + -36x = -32x -6t = -30 + -32x Divide each side by '-6'. t = 5 + 5.333333333x Simplifying t = 5 + 5.333333333x
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