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Simplifying -3(t + -6) = 10 + -7t Reorder the terms: -3(-6 + t) = 10 + -7t (-6 * -3 + t * -3) = 10 + -7t (18 + -3t) = 10 + -7t Solving 18 + -3t = 10 + -7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7t' to each side of the equation. 18 + -3t + 7t = 10 + -7t + 7t Combine like terms: -3t + 7t = 4t 18 + 4t = 10 + -7t + 7t Combine like terms: -7t + 7t = 0 18 + 4t = 10 + 0 18 + 4t = 10 Add '-18' to each side of the equation. 18 + -18 + 4t = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 4t = 10 + -18 4t = 10 + -18 Combine like terms: 10 + -18 = -8 4t = -8 Divide each side by '4'. t = -2 Simplifying t = -2
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