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