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Simplifying 2(t + -5) = 14t + 14 Reorder the terms: 2(-5 + t) = 14t + 14 (-5 * 2 + t * 2) = 14t + 14 (-10 + 2t) = 14t + 14 Reorder the terms: -10 + 2t = 14 + 14t Solving -10 + 2t = 14 + 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. -10 + 2t + -14t = 14 + 14t + -14t Combine like terms: 2t + -14t = -12t -10 + -12t = 14 + 14t + -14t Combine like terms: 14t + -14t = 0 -10 + -12t = 14 + 0 -10 + -12t = 14 Add '10' to each side of the equation. -10 + 10 + -12t = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -12t = 14 + 10 -12t = 14 + 10 Combine like terms: 14 + 10 = 24 -12t = 24 Divide each side by '-12'. t = -2 Simplifying t = -2
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