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Simplifying -7(6 + -1t) = 3(t + -14) (6 * -7 + -1t * -7) = 3(t + -14) (-42 + 7t) = 3(t + -14) Reorder the terms: -42 + 7t = 3(-14 + t) -42 + 7t = (-14 * 3 + t * 3) -42 + 7t = (-42 + 3t) Add '42' to each side of the equation. -42 + 42 + 7t = -42 + 42 + 3t Combine like terms: -42 + 42 = 0 0 + 7t = -42 + 42 + 3t 7t = -42 + 42 + 3t Combine like terms: -42 + 42 = 0 7t = 0 + 3t 7t = 3t Solving 7t = 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 7t + -3t = 3t + -3t Combine like terms: 7t + -3t = 4t 4t = 3t + -3t Combine like terms: 3t + -3t = 0 4t = 0 Divide each side by '4'. t = 0 Simplifying t = 0
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