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Simplifying 7(t + -1) + -3(t + -5) = 8 Reorder the terms: 7(-1 + t) + -3(t + -5) = 8 (-1 * 7 + t * 7) + -3(t + -5) = 8 (-7 + 7t) + -3(t + -5) = 8 Reorder the terms: -7 + 7t + -3(-5 + t) = 8 -7 + 7t + (-5 * -3 + t * -3) = 8 -7 + 7t + (15 + -3t) = 8 Reorder the terms: -7 + 15 + 7t + -3t = 8 Combine like terms: -7 + 15 = 8 8 + 7t + -3t = 8 Combine like terms: 7t + -3t = 4t 8 + 4t = 8 Add '-8' to each side of the equation. 8 + -8 + 4t = 8 + -8 Combine like terms: 8 + -8 = 0 0 + 4t = 8 + -8 4t = 8 + -8 Combine like terms: 8 + -8 = 0 4t = 0 Solving 4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Divide each side by '4'. t = 0 Simplifying t = 0
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