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Simplifying t + -1(t + -2) = -6t + -8 Reorder the terms: t + -1(-2 + t) = -6t + -8 t + (-2 * -1 + t * -1) = -6t + -8 t + (2 + -1t) = -6t + -8 Reorder the terms: 2 + t + -1t = -6t + -8 Combine like terms: t + -1t = 0 2 + 0 = -6t + -8 2 = -6t + -8 Reorder the terms: 2 = -8 + -6t Solving 2 = -8 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. 2 + 6t = -8 + -6t + 6t Combine like terms: -6t + 6t = 0 2 + 6t = -8 + 0 2 + 6t = -8 Add '-2' to each side of the equation. 2 + -2 + 6t = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 6t = -8 + -2 6t = -8 + -2 Combine like terms: -8 + -2 = -10 6t = -10 Divide each side by '6'. t = -1.666666667 Simplifying t = -1.666666667
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