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Simplifying 5t + 10 = -2t + -6 Reorder the terms: 10 + 5t = -2t + -6 Reorder the terms: 10 + 5t = -6 + -2t Solving 10 + 5t = -6 + -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. 10 + 5t + 2t = -6 + -2t + 2t Combine like terms: 5t + 2t = 7t 10 + 7t = -6 + -2t + 2t Combine like terms: -2t + 2t = 0 10 + 7t = -6 + 0 10 + 7t = -6 Add '-10' to each side of the equation. 10 + -10 + 7t = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 7t = -6 + -10 7t = -6 + -10 Combine like terms: -6 + -10 = -16 7t = -16 Divide each side by '7'. t = -2.285714286 Simplifying t = -2.285714286
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