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Simplifying 14 + -4t = 2(17 + -1t) 14 + -4t = (17 * 2 + -1t * 2) 14 + -4t = (34 + -2t) Solving 14 + -4t = 34 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 14 + -4t + 2t = 34 + -2t + 2t Combine like terms: -4t + 2t = -2t 14 + -2t = 34 + -2t + 2t Combine like terms: -2t + 2t = 0 14 + -2t = 34 + 0 14 + -2t = 34 Add '-14' to each side of the equation. 14 + -14 + -2t = 34 + -14 Combine like terms: 14 + -14 = 0 0 + -2t = 34 + -14 -2t = 34 + -14 Combine like terms: 34 + -14 = 20 -2t = 20 Divide each side by '-2'. t = -10 Simplifying t = -10
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