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Simplifying 6(t + -2) = 2(9 + -2r) Reorder the terms: 6(-2 + t) = 2(9 + -2r) (-2 * 6 + t * 6) = 2(9 + -2r) (-12 + 6t) = 2(9 + -2r) -12 + 6t = (9 * 2 + -2r * 2) -12 + 6t = (18 + -4r) Solving -12 + 6t = 18 + -4r Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 6t = 18 + 12 + -4r Combine like terms: -12 + 12 = 0 0 + 6t = 18 + 12 + -4r 6t = 18 + 12 + -4r Combine like terms: 18 + 12 = 30 6t = 30 + -4r Divide each side by '6'. t = 5 + -0.6666666667r Simplifying t = 5 + -0.6666666667r
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