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Simplifying 8t + 14 = 2(8t + -5) Reorder the terms: 14 + 8t = 2(8t + -5) Reorder the terms: 14 + 8t = 2(-5 + 8t) 14 + 8t = (-5 * 2 + 8t * 2) 14 + 8t = (-10 + 16t) Solving 14 + 8t = -10 + 16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16t' to each side of the equation. 14 + 8t + -16t = -10 + 16t + -16t Combine like terms: 8t + -16t = -8t 14 + -8t = -10 + 16t + -16t Combine like terms: 16t + -16t = 0 14 + -8t = -10 + 0 14 + -8t = -10 Add '-14' to each side of the equation. 14 + -14 + -8t = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -8t = -10 + -14 -8t = -10 + -14 Combine like terms: -10 + -14 = -24 -8t = -24 Divide each side by '-8'. t = 3 Simplifying t = 3
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