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Simplifying -3(t + 6) + 2t = 1 + t Reorder the terms: -3(6 + t) + 2t = 1 + t (6 * -3 + t * -3) + 2t = 1 + t (-18 + -3t) + 2t = 1 + t Combine like terms: -3t + 2t = -1t -18 + -1t = 1 + t Solving -18 + -1t = 1 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -18 + -1t + -1t = 1 + t + -1t Combine like terms: -1t + -1t = -2t -18 + -2t = 1 + t + -1t Combine like terms: t + -1t = 0 -18 + -2t = 1 + 0 -18 + -2t = 1 Add '18' to each side of the equation. -18 + 18 + -2t = 1 + 18 Combine like terms: -18 + 18 = 0 0 + -2t = 1 + 18 -2t = 1 + 18 Combine like terms: 1 + 18 = 19 -2t = 19 Divide each side by '-2'. t = -9.5 Simplifying t = -9.5
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