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Simplifying 2t + -8 = -4(t + 1) Reorder the terms: -8 + 2t = -4(t + 1) Reorder the terms: -8 + 2t = -4(1 + t) -8 + 2t = (1 * -4 + t * -4) -8 + 2t = (-4 + -4t) Solving -8 + 2t = -4 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. -8 + 2t + 4t = -4 + -4t + 4t Combine like terms: 2t + 4t = 6t -8 + 6t = -4 + -4t + 4t Combine like terms: -4t + 4t = 0 -8 + 6t = -4 + 0 -8 + 6t = -4 Add '8' to each side of the equation. -8 + 8 + 6t = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 6t = -4 + 8 6t = -4 + 8 Combine like terms: -4 + 8 = 4 6t = 4 Divide each side by '6'. t = 0.6666666667 Simplifying t = 0.6666666667
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