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Simplifying 19t + -1(8t + 14) = 3(4t + -3) Reorder the terms: 19t + -1(14 + 8t) = 3(4t + -3) 19t + (14 * -1 + 8t * -1) = 3(4t + -3) 19t + (-14 + -8t) = 3(4t + -3) Reorder the terms: -14 + 19t + -8t = 3(4t + -3) Combine like terms: 19t + -8t = 11t -14 + 11t = 3(4t + -3) Reorder the terms: -14 + 11t = 3(-3 + 4t) -14 + 11t = (-3 * 3 + 4t * 3) -14 + 11t = (-9 + 12t) Solving -14 + 11t = -9 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -14 + 11t + -12t = -9 + 12t + -12t Combine like terms: 11t + -12t = -1t -14 + -1t = -9 + 12t + -12t Combine like terms: 12t + -12t = 0 -14 + -1t = -9 + 0 -14 + -1t = -9 Add '14' to each side of the equation. -14 + 14 + -1t = -9 + 14 Combine like terms: -14 + 14 = 0 0 + -1t = -9 + 14 -1t = -9 + 14 Combine like terms: -9 + 14 = 5 -1t = 5 Divide each side by '-1'. t = -5 Simplifying t = -5
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