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Simplifying -3(2t + 1) = -3(t + -2) Reorder the terms: -3(1 + 2t) = -3(t + -2) (1 * -3 + 2t * -3) = -3(t + -2) (-3 + -6t) = -3(t + -2) Reorder the terms: -3 + -6t = -3(-2 + t) -3 + -6t = (-2 * -3 + t * -3) -3 + -6t = (6 + -3t) Solving -3 + -6t = 6 + -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. -3 + -6t + 3t = 6 + -3t + 3t Combine like terms: -6t + 3t = -3t -3 + -3t = 6 + -3t + 3t Combine like terms: -3t + 3t = 0 -3 + -3t = 6 + 0 -3 + -3t = 6 Add '3' to each side of the equation. -3 + 3 + -3t = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -3t = 6 + 3 -3t = 6 + 3 Combine like terms: 6 + 3 = 9 -3t = 9 Divide each side by '-3'. t = -3 Simplifying t = -3
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