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Simplifying t + (5t + 3) = -15 Reorder the terms: t + (3 + 5t) = -15 Remove parenthesis around (3 + 5t) t + 3 + 5t = -15 Reorder the terms: 3 + t + 5t = -15 Combine like terms: t + 5t = 6t 3 + 6t = -15 Solving 3 + 6t = -15 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 6t = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 6t = -15 + -3 6t = -15 + -3 Combine like terms: -15 + -3 = -18 6t = -18 Divide each side by '6'. t = -3 Simplifying t = -3
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