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Simplifying -3(5t + -2) + 7t = 5t + -6 Reorder the terms: -3(-2 + 5t) + 7t = 5t + -6 (-2 * -3 + 5t * -3) + 7t = 5t + -6 (6 + -15t) + 7t = 5t + -6 Combine like terms: -15t + 7t = -8t 6 + -8t = 5t + -6 Reorder the terms: 6 + -8t = -6 + 5t Solving 6 + -8t = -6 + 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 + -8t + -5t = -6 + 5t + -5t Combine like terms: -8t + -5t = -13t 6 + -13t = -6 + 5t + -5t Combine like terms: 5t + -5t = 0 6 + -13t = -6 + 0 6 + -13t = -6 Add '-6' to each side of the equation. 6 + -6 + -13t = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -13t = -6 + -6 -13t = -6 + -6 Combine like terms: -6 + -6 = -12 -13t = -12 Divide each side by '-13'. t = 0.9230769231 Simplifying t = 0.9230769231
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