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Simplifying 8(6t + 1) + -11 = t + -1(t + 2) Reorder the terms: 8(1 + 6t) + -11 = t + -1(t + 2) (1 * 8 + 6t * 8) + -11 = t + -1(t + 2) (8 + 48t) + -11 = t + -1(t + 2) Reorder the terms: 8 + -11 + 48t = t + -1(t + 2) Combine like terms: 8 + -11 = -3 -3 + 48t = t + -1(t + 2) Reorder the terms: -3 + 48t = t + -1(2 + t) -3 + 48t = t + (2 * -1 + t * -1) -3 + 48t = t + (-2 + -1t) Reorder the terms: -3 + 48t = -2 + t + -1t Combine like terms: t + -1t = 0 -3 + 48t = -2 + 0 -3 + 48t = -2 Solving -3 + 48t = -2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 48t = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 48t = -2 + 3 48t = -2 + 3 Combine like terms: -2 + 3 = 1 48t = 1 Divide each side by '48'. t = 0.02083333333 Simplifying t = 0.02083333333
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