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Simplifying -5t + 10 + 7t = 5t + -7 Reorder the terms: 10 + -5t + 7t = 5t + -7 Combine like terms: -5t + 7t = 2t 10 + 2t = 5t + -7 Reorder the terms: 10 + 2t = -7 + 5t Solving 10 + 2t = -7 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 10 + 2t + -5t = -7 + 5t + -5t Combine like terms: 2t + -5t = -3t 10 + -3t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 10 + -3t = -7 + 0 10 + -3t = -7 Add '-10' to each side of the equation. 10 + -10 + -3t = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -3t = -7 + -10 -3t = -7 + -10 Combine like terms: -7 + -10 = -17 -3t = -17 Divide each side by '-3'. t = 5.666666667 Simplifying t = 5.666666667
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