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Simplifying -2(5t + -2) + 3t = 6t + -7 Reorder the terms: -2(-2 + 5t) + 3t = 6t + -7 (-2 * -2 + 5t * -2) + 3t = 6t + -7 (4 + -10t) + 3t = 6t + -7 Combine like terms: -10t + 3t = -7t 4 + -7t = 6t + -7 Reorder the terms: 4 + -7t = -7 + 6t Solving 4 + -7t = -7 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 4 + -7t + -6t = -7 + 6t + -6t Combine like terms: -7t + -6t = -13t 4 + -13t = -7 + 6t + -6t Combine like terms: 6t + -6t = 0 4 + -13t = -7 + 0 4 + -13t = -7 Add '-4' to each side of the equation. 4 + -4 + -13t = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -13t = -7 + -4 -13t = -7 + -4 Combine like terms: -7 + -4 = -11 -13t = -11 Divide each side by '-13'. t = 0.8461538462 Simplifying t = 0.8461538462
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