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Simplifying -5(t + -3) + -1(t + 7) = 8 Reorder the terms: -5(-3 + t) + -1(t + 7) = 8 (-3 * -5 + t * -5) + -1(t + 7) = 8 (15 + -5t) + -1(t + 7) = 8 Reorder the terms: 15 + -5t + -1(7 + t) = 8 15 + -5t + (7 * -1 + t * -1) = 8 15 + -5t + (-7 + -1t) = 8 Reorder the terms: 15 + -7 + -5t + -1t = 8 Combine like terms: 15 + -7 = 8 8 + -5t + -1t = 8 Combine like terms: -5t + -1t = -6t 8 + -6t = 8 Add '-8' to each side of the equation. 8 + -8 + -6t = 8 + -8 Combine like terms: 8 + -8 = 0 0 + -6t = 8 + -8 -6t = 8 + -8 Combine like terms: 8 + -8 = 0 -6t = 0 Solving -6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Divide each side by '-6'. t = 0 Simplifying t = 0
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