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Simplifying 13(t + -6) + 5t = 6(3x + 5) + -13 Reorder the terms: 13(-6 + t) + 5t = 6(3x + 5) + -13 (-6 * 13 + t * 13) + 5t = 6(3x + 5) + -13 (-78 + 13t) + 5t = 6(3x + 5) + -13 Combine like terms: 13t + 5t = 18t -78 + 18t = 6(3x + 5) + -13 Reorder the terms: -78 + 18t = 6(5 + 3x) + -13 -78 + 18t = (5 * 6 + 3x * 6) + -13 -78 + 18t = (30 + 18x) + -13 Reorder the terms: -78 + 18t = 30 + -13 + 18x Combine like terms: 30 + -13 = 17 -78 + 18t = 17 + 18x Solving -78 + 18t = 17 + 18x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + 18t = 17 + 78 + 18x Combine like terms: -78 + 78 = 0 0 + 18t = 17 + 78 + 18x 18t = 17 + 78 + 18x Combine like terms: 17 + 78 = 95 18t = 95 + 18x Divide each side by '18'. t = 5.277777778 + x Simplifying t = 5.277777778 + x
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