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Simplifying 4(6t + 1) + -14 = t + -1(t + 9) Reorder the terms: 4(1 + 6t) + -14 = t + -1(t + 9) (1 * 4 + 6t * 4) + -14 = t + -1(t + 9) (4 + 24t) + -14 = t + -1(t + 9) Reorder the terms: 4 + -14 + 24t = t + -1(t + 9) Combine like terms: 4 + -14 = -10 -10 + 24t = t + -1(t + 9) Reorder the terms: -10 + 24t = t + -1(9 + t) -10 + 24t = t + (9 * -1 + t * -1) -10 + 24t = t + (-9 + -1t) Reorder the terms: -10 + 24t = -9 + t + -1t Combine like terms: t + -1t = 0 -10 + 24t = -9 + 0 -10 + 24t = -9 Solving -10 + 24t = -9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 24t = -9 + 10 Combine like terms: -10 + 10 = 0 0 + 24t = -9 + 10 24t = -9 + 10 Combine like terms: -9 + 10 = 1 24t = 1 Divide each side by '24'. t = 0.04166666667 Simplifying t = 0.04166666667
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