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Simplifying -4(t + -8) + -1(t + 2) = 8 Reorder the terms: -4(-8 + t) + -1(t + 2) = 8 (-8 * -4 + t * -4) + -1(t + 2) = 8 (32 + -4t) + -1(t + 2) = 8 Reorder the terms: 32 + -4t + -1(2 + t) = 8 32 + -4t + (2 * -1 + t * -1) = 8 32 + -4t + (-2 + -1t) = 8 Reorder the terms: 32 + -2 + -4t + -1t = 8 Combine like terms: 32 + -2 = 30 30 + -4t + -1t = 8 Combine like terms: -4t + -1t = -5t 30 + -5t = 8 Solving 30 + -5t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -5t = 8 + -30 Combine like terms: 30 + -30 = 0 0 + -5t = 8 + -30 -5t = 8 + -30 Combine like terms: 8 + -30 = -22 -5t = -22 Divide each side by '-5'. t = 4.4 Simplifying t = 4.4
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