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Simplifying 3(t + -2) + 3 = 3(2t + -6) Reorder the terms: 3(-2 + t) + 3 = 3(2t + -6) (-2 * 3 + t * 3) + 3 = 3(2t + -6) (-6 + 3t) + 3 = 3(2t + -6) Reorder the terms: -6 + 3 + 3t = 3(2t + -6) Combine like terms: -6 + 3 = -3 -3 + 3t = 3(2t + -6) Reorder the terms: -3 + 3t = 3(-6 + 2t) -3 + 3t = (-6 * 3 + 2t * 3) -3 + 3t = (-18 + 6t) Solving -3 + 3t = -18 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -3 + 3t + -6t = -18 + 6t + -6t Combine like terms: 3t + -6t = -3t -3 + -3t = -18 + 6t + -6t Combine like terms: 6t + -6t = 0 -3 + -3t = -18 + 0 -3 + -3t = -18 Add '3' to each side of the equation. -3 + 3 + -3t = -18 + 3 Combine like terms: -3 + 3 = 0 0 + -3t = -18 + 3 -3t = -18 + 3 Combine like terms: -18 + 3 = -15 -3t = -15 Divide each side by '-3'. t = 5 Simplifying t = 5
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