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Simplifying 2(7t + 1) + -16 = (t + 13) Reorder the terms: 2(1 + 7t) + -16 = (t + 13) (1 * 2 + 7t * 2) + -16 = (t + 13) (2 + 14t) + -16 = (t + 13) Reorder the terms: 2 + -16 + 14t = (t + 13) Combine like terms: 2 + -16 = -14 -14 + 14t = (t + 13) Reorder the terms: -14 + 14t = (13 + t) Remove parenthesis around (13 + t) -14 + 14t = 13 + t Solving -14 + 14t = 13 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -14 + 14t + -1t = 13 + t + -1t Combine like terms: 14t + -1t = 13t -14 + 13t = 13 + t + -1t Combine like terms: t + -1t = 0 -14 + 13t = 13 + 0 -14 + 13t = 13 Add '14' to each side of the equation. -14 + 14 + 13t = 13 + 14 Combine like terms: -14 + 14 = 0 0 + 13t = 13 + 14 13t = 13 + 14 Combine like terms: 13 + 14 = 27 13t = 27 Divide each side by '13'. t = 2.076923077 Simplifying t = 2.076923077
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