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Simplifying 13(t + -6) + 8 = 7(3t + 3) + -12 Reorder the terms: 13(-6 + t) + 8 = 7(3t + 3) + -12 (-6 * 13 + t * 13) + 8 = 7(3t + 3) + -12 (-78 + 13t) + 8 = 7(3t + 3) + -12 Reorder the terms: -78 + 8 + 13t = 7(3t + 3) + -12 Combine like terms: -78 + 8 = -70 -70 + 13t = 7(3t + 3) + -12 Reorder the terms: -70 + 13t = 7(3 + 3t) + -12 -70 + 13t = (3 * 7 + 3t * 7) + -12 -70 + 13t = (21 + 21t) + -12 Reorder the terms: -70 + 13t = 21 + -12 + 21t Combine like terms: 21 + -12 = 9 -70 + 13t = 9 + 21t Solving -70 + 13t = 9 + 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. -70 + 13t + -21t = 9 + 21t + -21t Combine like terms: 13t + -21t = -8t -70 + -8t = 9 + 21t + -21t Combine like terms: 21t + -21t = 0 -70 + -8t = 9 + 0 -70 + -8t = 9 Add '70' to each side of the equation. -70 + 70 + -8t = 9 + 70 Combine like terms: -70 + 70 = 0 0 + -8t = 9 + 70 -8t = 9 + 70 Combine like terms: 9 + 70 = 79 -8t = 79 Divide each side by '-8'. t = -9.875 Simplifying t = -9.875
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