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Simplifying 2(t + -7) + -1 = 5(6 + -1t) Reorder the terms: 2(-7 + t) + -1 = 5(6 + -1t) (-7 * 2 + t * 2) + -1 = 5(6 + -1t) (-14 + 2t) + -1 = 5(6 + -1t) Reorder the terms: -14 + -1 + 2t = 5(6 + -1t) Combine like terms: -14 + -1 = -15 -15 + 2t = 5(6 + -1t) -15 + 2t = (6 * 5 + -1t * 5) -15 + 2t = (30 + -5t) Solving -15 + 2t = 30 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. -15 + 2t + 5t = 30 + -5t + 5t Combine like terms: 2t + 5t = 7t -15 + 7t = 30 + -5t + 5t Combine like terms: -5t + 5t = 0 -15 + 7t = 30 + 0 -15 + 7t = 30 Add '15' to each side of the equation. -15 + 15 + 7t = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 7t = 30 + 15 7t = 30 + 15 Combine like terms: 30 + 15 = 45 7t = 45 Divide each side by '7'. t = 6.428571429 Simplifying t = 6.428571429
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