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Simplifying -2(5t + -3) + 7t = 2t + -8 Reorder the terms: -2(-3 + 5t) + 7t = 2t + -8 (-3 * -2 + 5t * -2) + 7t = 2t + -8 (6 + -10t) + 7t = 2t + -8 Combine like terms: -10t + 7t = -3t 6 + -3t = 2t + -8 Reorder the terms: 6 + -3t = -8 + 2t Solving 6 + -3t = -8 + 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. 6 + -3t + -2t = -8 + 2t + -2t Combine like terms: -3t + -2t = -5t 6 + -5t = -8 + 2t + -2t Combine like terms: 2t + -2t = 0 6 + -5t = -8 + 0 6 + -5t = -8 Add '-6' to each side of the equation. 6 + -6 + -5t = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -5t = -8 + -6 -5t = -8 + -6 Combine like terms: -8 + -6 = -14 -5t = -14 Divide each side by '-5'. t = 2.8 Simplifying t = 2.8
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