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Simplifying 6(t + -30) = 2(9 + -2t) Reorder the terms: 6(-30 + t) = 2(9 + -2t) (-30 * 6 + t * 6) = 2(9 + -2t) (-180 + 6t) = 2(9 + -2t) -180 + 6t = (9 * 2 + -2t * 2) -180 + 6t = (18 + -4t) Solving -180 + 6t = 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. -180 + 6t + 4t = 18 + -4t + 4t Combine like terms: 6t + 4t = 10t -180 + 10t = 18 + -4t + 4t Combine like terms: -4t + 4t = 0 -180 + 10t = 18 + 0 -180 + 10t = 18 Add '180' to each side of the equation. -180 + 180 + 10t = 18 + 180 Combine like terms: -180 + 180 = 0 0 + 10t = 18 + 180 10t = 18 + 180 Combine like terms: 18 + 180 = 198 10t = 198 Divide each side by '10'. t = 19.8 Simplifying t = 19.8
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