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Simplifying 8t + 4(t + -2) = -2 + -6(6t + 9) Reorder the terms: 8t + 4(-2 + t) = -2 + -6(6t + 9) 8t + (-2 * 4 + t * 4) = -2 + -6(6t + 9) 8t + (-8 + 4t) = -2 + -6(6t + 9) Reorder the terms: -8 + 8t + 4t = -2 + -6(6t + 9) Combine like terms: 8t + 4t = 12t -8 + 12t = -2 + -6(6t + 9) Reorder the terms: -8 + 12t = -2 + -6(9 + 6t) -8 + 12t = -2 + (9 * -6 + 6t * -6) -8 + 12t = -2 + (-54 + -36t) Combine like terms: -2 + -54 = -56 -8 + 12t = -56 + -36t Solving -8 + 12t = -56 + -36t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '36t' to each side of the equation. -8 + 12t + 36t = -56 + -36t + 36t Combine like terms: 12t + 36t = 48t -8 + 48t = -56 + -36t + 36t Combine like terms: -36t + 36t = 0 -8 + 48t = -56 + 0 -8 + 48t = -56 Add '8' to each side of the equation. -8 + 8 + 48t = -56 + 8 Combine like terms: -8 + 8 = 0 0 + 48t = -56 + 8 48t = -56 + 8 Combine like terms: -56 + 8 = -48 48t = -48 Divide each side by '48'. t = -1 Simplifying t = -1
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