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Simplifying 4(6t + 1) + -6 = t + -1(t + 1) Reorder the terms: 4(1 + 6t) + -6 = t + -1(t + 1) (1 * 4 + 6t * 4) + -6 = t + -1(t + 1) (4 + 24t) + -6 = t + -1(t + 1) Reorder the terms: 4 + -6 + 24t = t + -1(t + 1) Combine like terms: 4 + -6 = -2 -2 + 24t = t + -1(t + 1) Reorder the terms: -2 + 24t = t + -1(1 + t) -2 + 24t = t + (1 * -1 + t * -1) -2 + 24t = t + (-1 + -1t) Reorder the terms: -2 + 24t = -1 + t + -1t Combine like terms: t + -1t = 0 -2 + 24t = -1 + 0 -2 + 24t = -1 Solving -2 + 24t = -1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 24t = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 24t = -1 + 2 24t = -1 + 2 Combine like terms: -1 + 2 = 1 24t = 1 Divide each side by '24'. t = 0.04166666667 Simplifying t = 0.04166666667
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