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Simplifying 2(3t + -5) = 19t + 7 Reorder the terms: 2(-5 + 3t) = 19t + 7 (-5 * 2 + 3t * 2) = 19t + 7 (-10 + 6t) = 19t + 7 Reorder the terms: -10 + 6t = 7 + 19t Solving -10 + 6t = 7 + 19t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19t' to each side of the equation. -10 + 6t + -19t = 7 + 19t + -19t Combine like terms: 6t + -19t = -13t -10 + -13t = 7 + 19t + -19t Combine like terms: 19t + -19t = 0 -10 + -13t = 7 + 0 -10 + -13t = 7 Add '10' to each side of the equation. -10 + 10 + -13t = 7 + 10 Combine like terms: -10 + 10 = 0 0 + -13t = 7 + 10 -13t = 7 + 10 Combine like terms: 7 + 10 = 17 -13t = 17 Divide each side by '-13'. t = -1.307692308 Simplifying t = -1.307692308
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