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Simplifying 3(t + -2) + 3 = 3(2t + -4) Reorder the terms: 3(-2 + t) + 3 = 3(2t + -4) (-2 * 3 + t * 3) + 3 = 3(2t + -4) (-6 + 3t) + 3 = 3(2t + -4) Reorder the terms: -6 + 3 + 3t = 3(2t + -4) Combine like terms: -6 + 3 = -3 -3 + 3t = 3(2t + -4) Reorder the terms: -3 + 3t = 3(-4 + 2t) -3 + 3t = (-4 * 3 + 2t * 3) -3 + 3t = (-12 + 6t) Solving -3 + 3t = -12 + 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 = -12 + 6t + -6t Combine like terms: 3t + -6t = -3t -3 + -3t = -12 + 6t + -6t Combine like terms: 6t + -6t = 0 -3 + -3t = -12 + 0 -3 + -3t = -12 Add '3' to each side of the equation. -3 + 3 + -3t = -12 + 3 Combine like terms: -3 + 3 = 0 0 + -3t = -12 + 3 -3t = -12 + 3 Combine like terms: -12 + 3 = -9 -3t = -9 Divide each side by '-3'. t = 3 Simplifying t = 3
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