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Simplifying 2(3t + -4) = 19t + 8 Reorder the terms: 2(-4 + 3t) = 19t + 8 (-4 * 2 + 3t * 2) = 19t + 8 (-8 + 6t) = 19t + 8 Reorder the terms: -8 + 6t = 8 + 19t Solving -8 + 6t = 8 + 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. -8 + 6t + -19t = 8 + 19t + -19t Combine like terms: 6t + -19t = -13t -8 + -13t = 8 + 19t + -19t Combine like terms: 19t + -19t = 0 -8 + -13t = 8 + 0 -8 + -13t = 8 Add '8' to each side of the equation. -8 + 8 + -13t = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -13t = 8 + 8 -13t = 8 + 8 Combine like terms: 8 + 8 = 16 -13t = 16 Divide each side by '-13'. t = -1.230769231 Simplifying t = -1.230769231
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