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Simplifying 5 + 14(t + -2) = 2(t + -7) + 1 Reorder the terms: 5 + 14(-2 + t) = 2(t + -7) + 1 5 + (-2 * 14 + t * 14) = 2(t + -7) + 1 5 + (-28 + 14t) = 2(t + -7) + 1 Combine like terms: 5 + -28 = -23 -23 + 14t = 2(t + -7) + 1 Reorder the terms: -23 + 14t = 2(-7 + t) + 1 -23 + 14t = (-7 * 2 + t * 2) + 1 -23 + 14t = (-14 + 2t) + 1 Reorder the terms: -23 + 14t = -14 + 1 + 2t Combine like terms: -14 + 1 = -13 -23 + 14t = -13 + 2t Solving -23 + 14t = -13 + 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. -23 + 14t + -2t = -13 + 2t + -2t Combine like terms: 14t + -2t = 12t -23 + 12t = -13 + 2t + -2t Combine like terms: 2t + -2t = 0 -23 + 12t = -13 + 0 -23 + 12t = -13 Add '23' to each side of the equation. -23 + 23 + 12t = -13 + 23 Combine like terms: -23 + 23 = 0 0 + 12t = -13 + 23 12t = -13 + 23 Combine like terms: -13 + 23 = 10 12t = 10 Divide each side by '12'. t = 0.8333333333 Simplifying t = 0.8333333333
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