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Simplifying -6 + -9 + 8t = 10t + 1 Combine like terms: -6 + -9 = -15 -15 + 8t = 10t + 1 Reorder the terms: -15 + 8t = 1 + 10t Solving -15 + 8t = 1 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -15 + 8t + -10t = 1 + 10t + -10t Combine like terms: 8t + -10t = -2t -15 + -2t = 1 + 10t + -10t Combine like terms: 10t + -10t = 0 -15 + -2t = 1 + 0 -15 + -2t = 1 Add '15' to each side of the equation. -15 + 15 + -2t = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -2t = 1 + 15 -2t = 1 + 15 Combine like terms: 1 + 15 = 16 -2t = 16 Divide each side by '-2'. t = -8 Simplifying t = -8
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