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Simplifying 3 + -6t = 5t + 2(t + -8) Reorder the terms: 3 + -6t = 5t + 2(-8 + t) 3 + -6t = 5t + (-8 * 2 + t * 2) 3 + -6t = 5t + (-16 + 2t) Reorder the terms: 3 + -6t = -16 + 5t + 2t Combine like terms: 5t + 2t = 7t 3 + -6t = -16 + 7t Solving 3 + -6t = -16 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 3 + -6t + -7t = -16 + 7t + -7t Combine like terms: -6t + -7t = -13t 3 + -13t = -16 + 7t + -7t Combine like terms: 7t + -7t = 0 3 + -13t = -16 + 0 3 + -13t = -16 Add '-3' to each side of the equation. 3 + -3 + -13t = -16 + -3 Combine like terms: 3 + -3 = 0 0 + -13t = -16 + -3 -13t = -16 + -3 Combine like terms: -16 + -3 = -19 -13t = -19 Divide each side by '-13'. t = 1.461538462 Simplifying t = 1.461538462
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