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Simplifying 4(6t + 1) + -16 = t + -1(t + 11) Reorder the terms: 4(1 + 6t) + -16 = t + -1(t + 11) (1 * 4 + 6t * 4) + -16 = t + -1(t + 11) (4 + 24t) + -16 = t + -1(t + 11) Reorder the terms: 4 + -16 + 24t = t + -1(t + 11) Combine like terms: 4 + -16 = -12 -12 + 24t = t + -1(t + 11) Reorder the terms: -12 + 24t = t + -1(11 + t) -12 + 24t = t + (11 * -1 + t * -1) -12 + 24t = t + (-11 + -1t) Reorder the terms: -12 + 24t = -11 + t + -1t Combine like terms: t + -1t = 0 -12 + 24t = -11 + 0 -12 + 24t = -11 Solving -12 + 24t = -11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 24t = -11 + 12 Combine like terms: -12 + 12 = 0 0 + 24t = -11 + 12 24t = -11 + 12 Combine like terms: -11 + 12 = 1 24t = 1 Divide each side by '24'. t = 0.04166666667 Simplifying t = 0.04166666667
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