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Simplifying t + 5(t + -1) = 7 Reorder the terms: t + 5(-1 + t) = 7 t + (-1 * 5 + t * 5) = 7 t + (-5 + 5t) = 7 Reorder the terms: -5 + t + 5t = 7 Combine like terms: t + 5t = 6t -5 + 6t = 7 Solving -5 + 6t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6t = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 6t = 7 + 5 6t = 7 + 5 Combine like terms: 7 + 5 = 12 6t = 12 Divide each side by '6'. t = 2 Simplifying t = 2
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