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Simplifying 13 + -3t = 5t + -19 Reorder the terms: 13 + -3t = -19 + 5t Solving 13 + -3t = -19 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 13 + -3t + -5t = -19 + 5t + -5t Combine like terms: -3t + -5t = -8t 13 + -8t = -19 + 5t + -5t Combine like terms: 5t + -5t = 0 13 + -8t = -19 + 0 13 + -8t = -19 Add '-13' to each side of the equation. 13 + -13 + -8t = -19 + -13 Combine like terms: 13 + -13 = 0 0 + -8t = -19 + -13 -8t = -19 + -13 Combine like terms: -19 + -13 = -32 -8t = -32 Divide each side by '-8'. t = 4 Simplifying t = 4
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