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Simplifying 14 = 3(t + -13) + 5 Reorder the terms: 14 = 3(-13 + t) + 5 14 = (-13 * 3 + t * 3) + 5 14 = (-39 + 3t) + 5 Reorder the terms: 14 = -39 + 5 + 3t Combine like terms: -39 + 5 = -34 14 = -34 + 3t Solving 14 = -34 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 14 + -3t = -34 + 3t + -3t Combine like terms: 3t + -3t = 0 14 + -3t = -34 + 0 14 + -3t = -34 Add '-14' to each side of the equation. 14 + -14 + -3t = -34 + -14 Combine like terms: 14 + -14 = 0 0 + -3t = -34 + -14 -3t = -34 + -14 Combine like terms: -34 + -14 = -48 -3t = -48 Divide each side by '-3'. t = 16 Simplifying t = 16
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