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Simplifying -3(t + -7) + -1(t + 7) = 11 Reorder the terms: -3(-7 + t) + -1(t + 7) = 11 (-7 * -3 + t * -3) + -1(t + 7) = 11 (21 + -3t) + -1(t + 7) = 11 Reorder the terms: 21 + -3t + -1(7 + t) = 11 21 + -3t + (7 * -1 + t * -1) = 11 21 + -3t + (-7 + -1t) = 11 Reorder the terms: 21 + -7 + -3t + -1t = 11 Combine like terms: 21 + -7 = 14 14 + -3t + -1t = 11 Combine like terms: -3t + -1t = -4t 14 + -4t = 11 Solving 14 + -4t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -4t = 11 + -14 Combine like terms: 14 + -14 = 0 0 + -4t = 11 + -14 -4t = 11 + -14 Combine like terms: 11 + -14 = -3 -4t = -3 Divide each side by '-4'. t = 0.75 Simplifying t = 0.75
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