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Simplifying 7(t + -3) = 7(3t + 1) Reorder the terms: 7(-3 + t) = 7(3t + 1) (-3 * 7 + t * 7) = 7(3t + 1) (-21 + 7t) = 7(3t + 1) Reorder the terms: -21 + 7t = 7(1 + 3t) -21 + 7t = (1 * 7 + 3t * 7) -21 + 7t = (7 + 21t) Solving -21 + 7t = 7 + 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. -21 + 7t + -21t = 7 + 21t + -21t Combine like terms: 7t + -21t = -14t -21 + -14t = 7 + 21t + -21t Combine like terms: 21t + -21t = 0 -21 + -14t = 7 + 0 -21 + -14t = 7 Add '21' to each side of the equation. -21 + 21 + -14t = 7 + 21 Combine like terms: -21 + 21 = 0 0 + -14t = 7 + 21 -14t = 7 + 21 Combine like terms: 7 + 21 = 28 -14t = 28 Divide each side by '-14'. t = -2 Simplifying t = -2
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