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Simplifying 7t + -8t + 4 = 5t + -2 Reorder the terms: 4 + 7t + -8t = 5t + -2 Combine like terms: 7t + -8t = -1t 4 + -1t = 5t + -2 Reorder the terms: 4 + -1t = -2 + 5t Solving 4 + -1t = -2 + 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. 4 + -1t + -5t = -2 + 5t + -5t Combine like terms: -1t + -5t = -6t 4 + -6t = -2 + 5t + -5t Combine like terms: 5t + -5t = 0 4 + -6t = -2 + 0 4 + -6t = -2 Add '-4' to each side of the equation. 4 + -4 + -6t = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -6t = -2 + -4 -6t = -2 + -4 Combine like terms: -2 + -4 = -6 -6t = -6 Divide each side by '-6'. t = 1 Simplifying t = 1
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