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Simplifying -2(t + -3) + 5t = 8t + -3 Reorder the terms: -2(-3 + t) + 5t = 8t + -3 (-3 * -2 + t * -2) + 5t = 8t + -3 (6 + -2t) + 5t = 8t + -3 Combine like terms: -2t + 5t = 3t 6 + 3t = 8t + -3 Reorder the terms: 6 + 3t = -3 + 8t Solving 6 + 3t = -3 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 6 + 3t + -8t = -3 + 8t + -8t Combine like terms: 3t + -8t = -5t 6 + -5t = -3 + 8t + -8t Combine like terms: 8t + -8t = 0 6 + -5t = -3 + 0 6 + -5t = -3 Add '-6' to each side of the equation. 6 + -6 + -5t = -3 + -6 Combine like terms: 6 + -6 = 0 0 + -5t = -3 + -6 -5t = -3 + -6 Combine like terms: -3 + -6 = -9 -5t = -9 Divide each side by '-5'. t = 1.8 Simplifying t = 1.8
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