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Simplifying -5(t + -4) + -1(t + 8) = 3 Reorder the terms: -5(-4 + t) + -1(t + 8) = 3 (-4 * -5 + t * -5) + -1(t + 8) = 3 (20 + -5t) + -1(t + 8) = 3 Reorder the terms: 20 + -5t + -1(8 + t) = 3 20 + -5t + (8 * -1 + t * -1) = 3 20 + -5t + (-8 + -1t) = 3 Reorder the terms: 20 + -8 + -5t + -1t = 3 Combine like terms: 20 + -8 = 12 12 + -5t + -1t = 3 Combine like terms: -5t + -1t = -6t 12 + -6t = 3 Solving 12 + -6t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -6t = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -6t = 3 + -12 -6t = 3 + -12 Combine like terms: 3 + -12 = -9 -6t = -9 Divide each side by '-6'. t = 1.5 Simplifying t = 1.5
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