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Simplifying 14t + -42 = 7t + -14 Reorder the terms: -42 + 14t = 7t + -14 Reorder the terms: -42 + 14t = -14 + 7t Solving -42 + 14t = -14 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -42 + 14t + -7t = -14 + 7t + -7t Combine like terms: 14t + -7t = 7t -42 + 7t = -14 + 7t + -7t Combine like terms: 7t + -7t = 0 -42 + 7t = -14 + 0 -42 + 7t = -14 Add '42' to each side of the equation. -42 + 42 + 7t = -14 + 42 Combine like terms: -42 + 42 = 0 0 + 7t = -14 + 42 7t = -14 + 42 Combine like terms: -14 + 42 = 28 7t = 28 Divide each side by '7'. t = 4 Simplifying t = 4
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