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Simplifying 13(t + -3) + 5 = 6(3t + 4) + -10 Reorder the terms: 13(-3 + t) + 5 = 6(3t + 4) + -10 (-3 * 13 + t * 13) + 5 = 6(3t + 4) + -10 (-39 + 13t) + 5 = 6(3t + 4) + -10 Reorder the terms: -39 + 5 + 13t = 6(3t + 4) + -10 Combine like terms: -39 + 5 = -34 -34 + 13t = 6(3t + 4) + -10 Reorder the terms: -34 + 13t = 6(4 + 3t) + -10 -34 + 13t = (4 * 6 + 3t * 6) + -10 -34 + 13t = (24 + 18t) + -10 Reorder the terms: -34 + 13t = 24 + -10 + 18t Combine like terms: 24 + -10 = 14 -34 + 13t = 14 + 18t Solving -34 + 13t = 14 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. -34 + 13t + -18t = 14 + 18t + -18t Combine like terms: 13t + -18t = -5t -34 + -5t = 14 + 18t + -18t Combine like terms: 18t + -18t = 0 -34 + -5t = 14 + 0 -34 + -5t = 14 Add '34' to each side of the equation. -34 + 34 + -5t = 14 + 34 Combine like terms: -34 + 34 = 0 0 + -5t = 14 + 34 -5t = 14 + 34 Combine like terms: 14 + 34 = 48 -5t = 48 Divide each side by '-5'. t = -9.6 Simplifying t = -9.6
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