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Simplifying -5(t + -1) + 7 = 8t + -6 Reorder the terms: -5(-1 + t) + 7 = 8t + -6 (-1 * -5 + t * -5) + 7 = 8t + -6 (5 + -5t) + 7 = 8t + -6 Reorder the terms: 5 + 7 + -5t = 8t + -6 Combine like terms: 5 + 7 = 12 12 + -5t = 8t + -6 Reorder the terms: 12 + -5t = -6 + 8t Solving 12 + -5t = -6 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 12 + -5t + -8t = -6 + 8t + -8t Combine like terms: -5t + -8t = -13t 12 + -13t = -6 + 8t + -8t Combine like terms: 8t + -8t = 0 12 + -13t = -6 + 0 12 + -13t = -6 Add '-12' to each side of the equation. 12 + -12 + -13t = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -13t = -6 + -12 -13t = -6 + -12 Combine like terms: -6 + -12 = -18 -13t = -18 Divide each side by '-13'. t = 1.384615385 Simplifying t = 1.384615385
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