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Simplifying 10 + -5t + -15 = 8t + 16 + -6t Reorder the terms: 10 + -15 + -5t = 8t + 16 + -6t Combine like terms: 10 + -15 = -5 -5 + -5t = 8t + 16 + -6t Reorder the terms: -5 + -5t = 16 + 8t + -6t Combine like terms: 8t + -6t = 2t -5 + -5t = 16 + 2t Solving -5 + -5t = 16 + 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 + -5t + -2t = 16 + 2t + -2t Combine like terms: -5t + -2t = -7t -5 + -7t = 16 + 2t + -2t Combine like terms: 2t + -2t = 0 -5 + -7t = 16 + 0 -5 + -7t = 16 Add '5' to each side of the equation. -5 + 5 + -7t = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -7t = 16 + 5 -7t = 16 + 5 Combine like terms: 16 + 5 = 21 -7t = 21 Divide each side by '-7'. t = -3 Simplifying t = -3
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