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Simplifying 6(t + -1) = 3(x + 8) Reorder the terms: 6(-1 + t) = 3(x + 8) (-1 * 6 + t * 6) = 3(x + 8) (-6 + 6t) = 3(x + 8) Reorder the terms: -6 + 6t = 3(8 + x) -6 + 6t = (8 * 3 + x * 3) -6 + 6t = (24 + 3x) Solving -6 + 6t = 24 + 3x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6t = 24 + 6 + 3x Combine like terms: -6 + 6 = 0 0 + 6t = 24 + 6 + 3x 6t = 24 + 6 + 3x Combine like terms: 24 + 6 = 30 6t = 30 + 3x Divide each side by '6'. t = 5 + 0.5x Simplifying t = 5 + 0.5x
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