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Simplifying -3(t + -4) + -1(t + 4) = 6 Reorder the terms: -3(-4 + t) + -1(t + 4) = 6 (-4 * -3 + t * -3) + -1(t + 4) = 6 (12 + -3t) + -1(t + 4) = 6 Reorder the terms: 12 + -3t + -1(4 + t) = 6 12 + -3t + (4 * -1 + t * -1) = 6 12 + -3t + (-4 + -1t) = 6 Reorder the terms: 12 + -4 + -3t + -1t = 6 Combine like terms: 12 + -4 = 8 8 + -3t + -1t = 6 Combine like terms: -3t + -1t = -4t 8 + -4t = 6 Solving 8 + -4t = 6 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 + -4t = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -4t = 6 + -8 -4t = 6 + -8 Combine like terms: 6 + -8 = -2 -4t = -2 Divide each side by '-4'. t = 0.5 Simplifying t = 0.5
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