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Simplifying t = 5t + -2(t + 2) Reorder the terms: t = 5t + -2(2 + t) t = 5t + (2 * -2 + t * -2) t = 5t + (-4 + -2t) Reorder the terms: t = -4 + 5t + -2t Combine like terms: 5t + -2t = 3t t = -4 + 3t Solving t = -4 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. t + -3t = -4 + 3t + -3t Combine like terms: t + -3t = -2t -2t = -4 + 3t + -3t Combine like terms: 3t + -3t = 0 -2t = -4 + 0 -2t = -4 Divide each side by '-2'. t = 2 Simplifying t = 2
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