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Simplifying 13(t + -5) + 8 = 7(3t + 4) + -13 Reorder the terms: 13(-5 + t) + 8 = 7(3t + 4) + -13 (-5 * 13 + t * 13) + 8 = 7(3t + 4) + -13 (-65 + 13t) + 8 = 7(3t + 4) + -13 Reorder the terms: -65 + 8 + 13t = 7(3t + 4) + -13 Combine like terms: -65 + 8 = -57 -57 + 13t = 7(3t + 4) + -13 Reorder the terms: -57 + 13t = 7(4 + 3t) + -13 -57 + 13t = (4 * 7 + 3t * 7) + -13 -57 + 13t = (28 + 21t) + -13 Reorder the terms: -57 + 13t = 28 + -13 + 21t Combine like terms: 28 + -13 = 15 -57 + 13t = 15 + 21t Solving -57 + 13t = 15 + 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. -57 + 13t + -21t = 15 + 21t + -21t Combine like terms: 13t + -21t = -8t -57 + -8t = 15 + 21t + -21t Combine like terms: 21t + -21t = 0 -57 + -8t = 15 + 0 -57 + -8t = 15 Add '57' to each side of the equation. -57 + 57 + -8t = 15 + 57 Combine like terms: -57 + 57 = 0 0 + -8t = 15 + 57 -8t = 15 + 57 Combine like terms: 15 + 57 = 72 -8t = 72 Divide each side by '-8'. t = -9 Simplifying t = -9
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