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Simplifying 2t + 2 = 8t + -16 Reorder the terms: 2 + 2t = 8t + -16 Reorder the terms: 2 + 2t = -16 + 8t Solving 2 + 2t = -16 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 2 + 2t + -8t = -16 + 8t + -8t Combine like terms: 2t + -8t = -6t 2 + -6t = -16 + 8t + -8t Combine like terms: 8t + -8t = 0 2 + -6t = -16 + 0 2 + -6t = -16 Add '-2' to each side of the equation. 2 + -2 + -6t = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -6t = -16 + -2 -6t = -16 + -2 Combine like terms: -16 + -2 = -18 -6t = -18 Divide each side by '-6'. t = 3 Simplifying t = 3
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