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Simplifying 14 + -7t + -19 = 8t + 28 + -4t Reorder the terms: 14 + -19 + -7t = 8t + 28 + -4t Combine like terms: 14 + -19 = -5 -5 + -7t = 8t + 28 + -4t Reorder the terms: -5 + -7t = 28 + 8t + -4t Combine like terms: 8t + -4t = 4t -5 + -7t = 28 + 4t Solving -5 + -7t = 28 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -5 + -7t + -4t = 28 + 4t + -4t Combine like terms: -7t + -4t = -11t -5 + -11t = 28 + 4t + -4t Combine like terms: 4t + -4t = 0 -5 + -11t = 28 + 0 -5 + -11t = 28 Add '5' to each side of the equation. -5 + 5 + -11t = 28 + 5 Combine like terms: -5 + 5 = 0 0 + -11t = 28 + 5 -11t = 28 + 5 Combine like terms: 28 + 5 = 33 -11t = 33 Divide each side by '-11'. t = -3 Simplifying t = -3
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