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Simplifying -6(11 + -2t) = 7(-2 + -2t) (11 * -6 + -2t * -6) = 7(-2 + -2t) (-66 + 12t) = 7(-2 + -2t) -66 + 12t = (-2 * 7 + -2t * 7) -66 + 12t = (-14 + -14t) Solving -66 + 12t = -14 + -14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14t' to each side of the equation. -66 + 12t + 14t = -14 + -14t + 14t Combine like terms: 12t + 14t = 26t -66 + 26t = -14 + -14t + 14t Combine like terms: -14t + 14t = 0 -66 + 26t = -14 + 0 -66 + 26t = -14 Add '66' to each side of the equation. -66 + 66 + 26t = -14 + 66 Combine like terms: -66 + 66 = 0 0 + 26t = -14 + 66 26t = -14 + 66 Combine like terms: -14 + 66 = 52 26t = 52 Divide each side by '26'. t = 2 Simplifying t = 2
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