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Simplifying 2(t + -1) + -6(-2t + -5) = 13(t + 4) + 5 Reorder the terms: 2(-1 + t) + -6(-2t + -5) = 13(t + 4) + 5 (-1 * 2 + t * 2) + -6(-2t + -5) = 13(t + 4) + 5 (-2 + 2t) + -6(-2t + -5) = 13(t + 4) + 5 Reorder the terms: -2 + 2t + -6(-5 + -2t) = 13(t + 4) + 5 -2 + 2t + (-5 * -6 + -2t * -6) = 13(t + 4) + 5 -2 + 2t + (30 + 12t) = 13(t + 4) + 5 Reorder the terms: -2 + 30 + 2t + 12t = 13(t + 4) + 5 Combine like terms: -2 + 30 = 28 28 + 2t + 12t = 13(t + 4) + 5 Combine like terms: 2t + 12t = 14t 28 + 14t = 13(t + 4) + 5 Reorder the terms: 28 + 14t = 13(4 + t) + 5 28 + 14t = (4 * 13 + t * 13) + 5 28 + 14t = (52 + 13t) + 5 Reorder the terms: 28 + 14t = 52 + 5 + 13t Combine like terms: 52 + 5 = 57 28 + 14t = 57 + 13t Solving 28 + 14t = 57 + 13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13t' to each side of the equation. 28 + 14t + -13t = 57 + 13t + -13t Combine like terms: 14t + -13t = 1t 28 + 1t = 57 + 13t + -13t Combine like terms: 13t + -13t = 0 28 + 1t = 57 + 0 28 + 1t = 57 Add '-28' to each side of the equation. 28 + -28 + 1t = 57 + -28 Combine like terms: 28 + -28 = 0 0 + 1t = 57 + -28 1t = 57 + -28 Combine like terms: 57 + -28 = 29 1t = 29 Divide each side by '1'. t = 29 Simplifying t = 29
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