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Simplifying 2(t + -7) + -1 = -5(6t + -1t) Reorder the terms: 2(-7 + t) + -1 = -5(6t + -1t) (-7 * 2 + t * 2) + -1 = -5(6t + -1t) (-14 + 2t) + -1 = -5(6t + -1t) Reorder the terms: -14 + -1 + 2t = -5(6t + -1t) Combine like terms: -14 + -1 = -15 -15 + 2t = -5(6t + -1t) Combine like terms: 6t + -1t = 5t -15 + 2t = -5(5t) Remove parenthesis around (5t) -15 + 2t = -5 * 5t Multiply -5 * 5 -15 + 2t = -25t Solving -15 + 2t = -25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '25t' to each side of the equation. -15 + 2t + 25t = -25t + 25t Combine like terms: 2t + 25t = 27t -15 + 27t = -25t + 25t Combine like terms: -25t + 25t = 0 -15 + 27t = 0 Add '15' to each side of the equation. -15 + 15 + 27t = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 27t = 0 + 15 27t = 0 + 15 Combine like terms: 0 + 15 = 15 27t = 15 Divide each side by '27'. t = 0.5555555556 Simplifying t = 0.5555555556
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