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Simplifying 4(6t + 1) + -11 = t + -1(t + 6) Reorder the terms: 4(1 + 6t) + -11 = t + -1(t + 6) (1 * 4 + 6t * 4) + -11 = t + -1(t + 6) (4 + 24t) + -11 = t + -1(t + 6) Reorder the terms: 4 + -11 + 24t = t + -1(t + 6) Combine like terms: 4 + -11 = -7 -7 + 24t = t + -1(t + 6) Reorder the terms: -7 + 24t = t + -1(6 + t) -7 + 24t = t + (6 * -1 + t * -1) -7 + 24t = t + (-6 + -1t) Reorder the terms: -7 + 24t = -6 + t + -1t Combine like terms: t + -1t = 0 -7 + 24t = -6 + 0 -7 + 24t = -6 Solving -7 + 24t = -6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 24t = -6 + 7 Combine like terms: -7 + 7 = 0 0 + 24t = -6 + 7 24t = -6 + 7 Combine like terms: -6 + 7 = 1 24t = 1 Divide each side by '24'. t = 0.04166666667 Simplifying t = 0.04166666667
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