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Simplifying 6t + -1 = 8 + 3t + 10t Reorder the terms: -1 + 6t = 8 + 3t + 10t Combine like terms: 3t + 10t = 13t -1 + 6t = 8 + 13t Solving -1 + 6t = 8 + 13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13t' to each side of the equation. -1 + 6t + -13t = 8 + 13t + -13t Combine like terms: 6t + -13t = -7t -1 + -7t = 8 + 13t + -13t Combine like terms: 13t + -13t = 0 -1 + -7t = 8 + 0 -1 + -7t = 8 Add '1' to each side of the equation. -1 + 1 + -7t = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -7t = 8 + 1 -7t = 8 + 1 Combine like terms: 8 + 1 = 9 -7t = 9 Divide each side by '-7'. t = -1.285714286 Simplifying t = -1.285714286
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