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Simplifying 9(5 + t) + -15 = t + -1(t + 5) (5 * 9 + t * 9) + -15 = t + -1(t + 5) (45 + 9t) + -15 = t + -1(t + 5) Reorder the terms: 45 + -15 + 9t = t + -1(t + 5) Combine like terms: 45 + -15 = 30 30 + 9t = t + -1(t + 5) Reorder the terms: 30 + 9t = t + -1(5 + t) 30 + 9t = t + (5 * -1 + t * -1) 30 + 9t = t + (-5 + -1t) Reorder the terms: 30 + 9t = -5 + t + -1t Combine like terms: t + -1t = 0 30 + 9t = -5 + 0 30 + 9t = -5 Solving 30 + 9t = -5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 9t = -5 + -30 Combine like terms: 30 + -30 = 0 0 + 9t = -5 + -30 9t = -5 + -30 Combine like terms: -5 + -30 = -35 9t = -35 Divide each side by '9'. t = -3.888888889 Simplifying t = -3.888888889
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