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Simplifying -4(t + -4) + -1(t + 8) = 1 Reorder the terms: -4(-4 + t) + -1(t + 8) = 1 (-4 * -4 + t * -4) + -1(t + 8) = 1 (16 + -4t) + -1(t + 8) = 1 Reorder the terms: 16 + -4t + -1(8 + t) = 1 16 + -4t + (8 * -1 + t * -1) = 1 16 + -4t + (-8 + -1t) = 1 Reorder the terms: 16 + -8 + -4t + -1t = 1 Combine like terms: 16 + -8 = 8 8 + -4t + -1t = 1 Combine like terms: -4t + -1t = -5t 8 + -5t = 1 Solving 8 + -5t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5t = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -5t = 1 + -8 -5t = 1 + -8 Combine like terms: 1 + -8 = -7 -5t = -7 Divide each side by '-5'. t = 1.4 Simplifying t = 1.4
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