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Simplifying 5t + -7 = -19 + 8t Reorder the terms: -7 + 5t = -19 + 8t Solving -7 + 5t = -19 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -7 + 5t + -8t = -19 + 8t + -8t Combine like terms: 5t + -8t = -3t -7 + -3t = -19 + 8t + -8t Combine like terms: 8t + -8t = 0 -7 + -3t = -19 + 0 -7 + -3t = -19 Add '7' to each side of the equation. -7 + 7 + -3t = -19 + 7 Combine like terms: -7 + 7 = 0 0 + -3t = -19 + 7 -3t = -19 + 7 Combine like terms: -19 + 7 = -12 -3t = -12 Divide each side by '-3'. t = 4 Simplifying t = 4
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