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Simplifying -5t + -3 + -1t + 8 = 2t + -7 Reorder the terms: -3 + 8 + -5t + -1t = 2t + -7 Combine like terms: -3 + 8 = 5 5 + -5t + -1t = 2t + -7 Combine like terms: -5t + -1t = -6t 5 + -6t = 2t + -7 Reorder the terms: 5 + -6t = -7 + 2t Solving 5 + -6t = -7 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 5 + -6t + -2t = -7 + 2t + -2t Combine like terms: -6t + -2t = -8t 5 + -8t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 5 + -8t = -7 + 0 5 + -8t = -7 Add '-5' to each side of the equation. 5 + -5 + -8t = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -8t = -7 + -5 -8t = -7 + -5 Combine like terms: -7 + -5 = -12 -8t = -12 Divide each side by '-8'. t = 1.5 Simplifying t = 1.5
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