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Simplifying 2(5t + -22) + -6 = 106 Reorder the terms: 2(-22 + 5t) + -6 = 106 (-22 * 2 + 5t * 2) + -6 = 106 (-44 + 10t) + -6 = 106 Reorder the terms: -44 + -6 + 10t = 106 Combine like terms: -44 + -6 = -50 -50 + 10t = 106 Solving -50 + 10t = 106 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 10t = 106 + 50 Combine like terms: -50 + 50 = 0 0 + 10t = 106 + 50 10t = 106 + 50 Combine like terms: 106 + 50 = 156 10t = 156 Divide each side by '10'. t = 15.6 Simplifying t = 15.6
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