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Simplifying -4(t + -4) + -1(t + 4) = 6 Reorder the terms: -4(-4 + t) + -1(t + 4) = 6 (-4 * -4 + t * -4) + -1(t + 4) = 6 (16 + -4t) + -1(t + 4) = 6 Reorder the terms: 16 + -4t + -1(4 + t) = 6 16 + -4t + (4 * -1 + t * -1) = 6 16 + -4t + (-4 + -1t) = 6 Reorder the terms: 16 + -4 + -4t + -1t = 6 Combine like terms: 16 + -4 = 12 12 + -4t + -1t = 6 Combine like terms: -4t + -1t = -5t 12 + -5t = 6 Solving 12 + -5t = 6 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 + -5t = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -5t = 6 + -12 -5t = 6 + -12 Combine like terms: 6 + -12 = -6 -5t = -6 Divide each side by '-5'. t = 1.2 Simplifying t = 1.2
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