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Simplifying -7(5t + -12) = -6 + 10t Reorder the terms: -7(-12 + 5t) = -6 + 10t (-12 * -7 + 5t * -7) = -6 + 10t (84 + -35t) = -6 + 10t Solving 84 + -35t = -6 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 84 + -35t + -10t = -6 + 10t + -10t Combine like terms: -35t + -10t = -45t 84 + -45t = -6 + 10t + -10t Combine like terms: 10t + -10t = 0 84 + -45t = -6 + 0 84 + -45t = -6 Add '-84' to each side of the equation. 84 + -84 + -45t = -6 + -84 Combine like terms: 84 + -84 = 0 0 + -45t = -6 + -84 -45t = -6 + -84 Combine like terms: -6 + -84 = -90 -45t = -90 Divide each side by '-45'. t = 2 Simplifying t = 2
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