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Simplifying 2(8) + t + 2 = 8 + 3t + -28 Multiply 2 * 8 16 + t + 2 = 8 + 3t + -28 Reorder the terms: 16 + 2 + t = 8 + 3t + -28 Combine like terms: 16 + 2 = 18 18 + t = 8 + 3t + -28 Reorder the terms: 18 + t = 8 + -28 + 3t Combine like terms: 8 + -28 = -20 18 + t = -20 + 3t Solving 18 + t = -20 + 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. 18 + t + -3t = -20 + 3t + -3t Combine like terms: t + -3t = -2t 18 + -2t = -20 + 3t + -3t Combine like terms: 3t + -3t = 0 18 + -2t = -20 + 0 18 + -2t = -20 Add '-18' to each side of the equation. 18 + -18 + -2t = -20 + -18 Combine like terms: 18 + -18 = 0 0 + -2t = -20 + -18 -2t = -20 + -18 Combine like terms: -20 + -18 = -38 -2t = -38 Divide each side by '-2'. t = 19 Simplifying t = 19
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