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Simplifying -4(t + -4) + -1(t + 3) = 8 Reorder the terms: -4(-4 + t) + -1(t + 3) = 8 (-4 * -4 + t * -4) + -1(t + 3) = 8 (16 + -4t) + -1(t + 3) = 8 Reorder the terms: 16 + -4t + -1(3 + t) = 8 16 + -4t + (3 * -1 + t * -1) = 8 16 + -4t + (-3 + -1t) = 8 Reorder the terms: 16 + -3 + -4t + -1t = 8 Combine like terms: 16 + -3 = 13 13 + -4t + -1t = 8 Combine like terms: -4t + -1t = -5t 13 + -5t = 8 Solving 13 + -5t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -5t = 8 + -13 Combine like terms: 13 + -13 = 0 0 + -5t = 8 + -13 -5t = 8 + -13 Combine like terms: 8 + -13 = -5 -5t = -5 Divide each side by '-5'. t = 1 Simplifying t = 1
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