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Simplifying 8 + -4(1t + -4) = 2t Reorder the terms: 8 + -4(-4 + 1t) = 2t 8 + (-4 * -4 + 1t * -4) = 2t 8 + (16 + -4t) = 2t Combine like terms: 8 + 16 = 24 24 + -4t = 2t Solving 24 + -4t = 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 24 + -4t + -2t = 2t + -2t Combine like terms: -4t + -2t = -6t 24 + -6t = 2t + -2t Combine like terms: 2t + -2t = 0 24 + -6t = 0 Add '-24' to each side of the equation. 24 + -24 + -6t = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -6t = 0 + -24 -6t = 0 + -24 Combine like terms: 0 + -24 = -24 -6t = -24 Divide each side by '-6'. t = 4 Simplifying t = 4
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