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Simplifying 7(t + -3) = 2(t + -9) + 2t Reorder the terms: 7(-3 + t) = 2(t + -9) + 2t (-3 * 7 + t * 7) = 2(t + -9) + 2t (-21 + 7t) = 2(t + -9) + 2t Reorder the terms: -21 + 7t = 2(-9 + t) + 2t -21 + 7t = (-9 * 2 + t * 2) + 2t -21 + 7t = (-18 + 2t) + 2t Combine like terms: 2t + 2t = 4t -21 + 7t = -18 + 4t Solving -21 + 7t = -18 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -21 + 7t + -4t = -18 + 4t + -4t Combine like terms: 7t + -4t = 3t -21 + 3t = -18 + 4t + -4t Combine like terms: 4t + -4t = 0 -21 + 3t = -18 + 0 -21 + 3t = -18 Add '21' to each side of the equation. -21 + 21 + 3t = -18 + 21 Combine like terms: -21 + 21 = 0 0 + 3t = -18 + 21 3t = -18 + 21 Combine like terms: -18 + 21 = 3 3t = 3 Divide each side by '3'. t = 1 Simplifying t = 1
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