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Simplifying 15(t + -1) = 7(t + 2) + -1t Reorder the terms: 15(-1 + t) = 7(t + 2) + -1t (-1 * 15 + t * 15) = 7(t + 2) + -1t (-15 + 15t) = 7(t + 2) + -1t Reorder the terms: -15 + 15t = 7(2 + t) + -1t -15 + 15t = (2 * 7 + t * 7) + -1t -15 + 15t = (14 + 7t) + -1t Combine like terms: 7t + -1t = 6t -15 + 15t = 14 + 6t Solving -15 + 15t = 14 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -15 + 15t + -6t = 14 + 6t + -6t Combine like terms: 15t + -6t = 9t -15 + 9t = 14 + 6t + -6t Combine like terms: 6t + -6t = 0 -15 + 9t = 14 + 0 -15 + 9t = 14 Add '15' to each side of the equation. -15 + 15 + 9t = 14 + 15 Combine like terms: -15 + 15 = 0 0 + 9t = 14 + 15 9t = 14 + 15 Combine like terms: 14 + 15 = 29 9t = 29 Divide each side by '9'. t = 3.222222222 Simplifying t = 3.222222222
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