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Simplifying 2(t + -7) + -1 = -5(6 + -1) Reorder the terms: 2(-7 + t) + -1 = -5(6 + -1) (-7 * 2 + t * 2) + -1 = -5(6 + -1) (-14 + 2t) + -1 = -5(6 + -1) Reorder the terms: -14 + -1 + 2t = -5(6 + -1) Combine like terms: -14 + -1 = -15 -15 + 2t = -5(6 + -1) Combine like terms: 6 + -1 = 5 -15 + 2t = -5(5) Multiply -5 * 5 -15 + 2t = -25 Solving -15 + 2t = -25 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2t = -25 + 15 Combine like terms: -15 + 15 = 0 0 + 2t = -25 + 15 2t = -25 + 15 Combine like terms: -25 + 15 = -10 2t = -10 Divide each side by '2'. t = -5 Simplifying t = -5
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