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Simplifying 7(t + -8) + 50 = 10t + 14 + 2t Reorder the terms: 7(-8 + t) + 50 = 10t + 14 + 2t (-8 * 7 + t * 7) + 50 = 10t + 14 + 2t (-56 + 7t) + 50 = 10t + 14 + 2t Reorder the terms: -56 + 50 + 7t = 10t + 14 + 2t Combine like terms: -56 + 50 = -6 -6 + 7t = 10t + 14 + 2t Reorder the terms: -6 + 7t = 14 + 10t + 2t Combine like terms: 10t + 2t = 12t -6 + 7t = 14 + 12t Solving -6 + 7t = 14 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -6 + 7t + -12t = 14 + 12t + -12t Combine like terms: 7t + -12t = -5t -6 + -5t = 14 + 12t + -12t Combine like terms: 12t + -12t = 0 -6 + -5t = 14 + 0 -6 + -5t = 14 Add '6' to each side of the equation. -6 + 6 + -5t = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -5t = 14 + 6 -5t = 14 + 6 Combine like terms: 14 + 6 = 20 -5t = 20 Divide each side by '-5'. t = -4 Simplifying t = -4
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