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Simplifying -8t + 9 + 2t = -7 + -3t + -5 Reorder the terms: 9 + -8t + 2t = -7 + -3t + -5 Combine like terms: -8t + 2t = -6t 9 + -6t = -7 + -3t + -5 Reorder the terms: 9 + -6t = -7 + -5 + -3t Combine like terms: -7 + -5 = -12 9 + -6t = -12 + -3t Solving 9 + -6t = -12 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 9 + -6t + 3t = -12 + -3t + 3t Combine like terms: -6t + 3t = -3t 9 + -3t = -12 + -3t + 3t Combine like terms: -3t + 3t = 0 9 + -3t = -12 + 0 9 + -3t = -12 Add '-9' to each side of the equation. 9 + -9 + -3t = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -3t = -12 + -9 -3t = -12 + -9 Combine like terms: -12 + -9 = -21 -3t = -21 Divide each side by '-3'. t = 7 Simplifying t = 7
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