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Simplifying 8(14 + -1t) + 6t = 2934 (14 * 8 + -1t * 8) + 6t = 2934 (112 + -8t) + 6t = 2934 Combine like terms: -8t + 6t = -2t 112 + -2t = 2934 Solving 112 + -2t = 2934 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -112 + -2t = 2934 + -112 Combine like terms: 112 + -112 = 0 0 + -2t = 2934 + -112 -2t = 2934 + -112 Combine like terms: 2934 + -112 = 2822 -2t = 2822 Divide each side by '-2'. t = -1411 Simplifying t = -1411
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