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Simplifying -7(3 + t) = 2(2t + 6) (3 * -7 + t * -7) = 2(2t + 6) (-21 + -7t) = 2(2t + 6) Reorder the terms: -21 + -7t = 2(6 + 2t) -21 + -7t = (6 * 2 + 2t * 2) -21 + -7t = (12 + 4t) Solving -21 + -7t = 12 + 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 = 12 + 4t + -4t Combine like terms: -7t + -4t = -11t -21 + -11t = 12 + 4t + -4t Combine like terms: 4t + -4t = 0 -21 + -11t = 12 + 0 -21 + -11t = 12 Add '21' to each side of the equation. -21 + 21 + -11t = 12 + 21 Combine like terms: -21 + 21 = 0 0 + -11t = 12 + 21 -11t = 12 + 21 Combine like terms: 12 + 21 = 33 -11t = 33 Divide each side by '-11'. t = -3 Simplifying t = -3
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