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Simplifying -2(5t + -3) + 7t = 5t + -5 Reorder the terms: -2(-3 + 5t) + 7t = 5t + -5 (-3 * -2 + 5t * -2) + 7t = 5t + -5 (6 + -10t) + 7t = 5t + -5 Combine like terms: -10t + 7t = -3t 6 + -3t = 5t + -5 Reorder the terms: 6 + -3t = -5 + 5t Solving 6 + -3t = -5 + 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. 6 + -3t + -5t = -5 + 5t + -5t Combine like terms: -3t + -5t = -8t 6 + -8t = -5 + 5t + -5t Combine like terms: 5t + -5t = 0 6 + -8t = -5 + 0 6 + -8t = -5 Add '-6' to each side of the equation. 6 + -6 + -8t = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -8t = -5 + -6 -8t = -5 + -6 Combine like terms: -5 + -6 = -11 -8t = -11 Divide each side by '-8'. t = 1.375 Simplifying t = 1.375
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