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Simplifying 3(2t + -6) = 3t + -9 Reorder the terms: 3(-6 + 2t) = 3t + -9 (-6 * 3 + 2t * 3) = 3t + -9 (-18 + 6t) = 3t + -9 Reorder the terms: -18 + 6t = -9 + 3t Solving -18 + 6t = -9 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -18 + 6t + -3t = -9 + 3t + -3t Combine like terms: 6t + -3t = 3t -18 + 3t = -9 + 3t + -3t Combine like terms: 3t + -3t = 0 -18 + 3t = -9 + 0 -18 + 3t = -9 Add '18' to each side of the equation. -18 + 18 + 3t = -9 + 18 Combine like terms: -18 + 18 = 0 0 + 3t = -9 + 18 3t = -9 + 18 Combine like terms: -9 + 18 = 9 3t = 9 Divide each side by '3'. t = 3 Simplifying t = 3
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