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Simplifying 6t + 16 + -8t = -4 + t + 17 Reorder the terms: 16 + 6t + -8t = -4 + t + 17 Combine like terms: 6t + -8t = -2t 16 + -2t = -4 + t + 17 Reorder the terms: 16 + -2t = -4 + 17 + t Combine like terms: -4 + 17 = 13 16 + -2t = 13 + t Solving 16 + -2t = 13 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 16 + -2t + -1t = 13 + t + -1t Combine like terms: -2t + -1t = -3t 16 + -3t = 13 + t + -1t Combine like terms: t + -1t = 0 16 + -3t = 13 + 0 16 + -3t = 13 Add '-16' to each side of the equation. 16 + -16 + -3t = 13 + -16 Combine like terms: 16 + -16 = 0 0 + -3t = 13 + -16 -3t = 13 + -16 Combine like terms: 13 + -16 = -3 -3t = -3 Divide each side by '-3'. t = 1 Simplifying t = 1
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