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Simplifying 2(2t + -6) = 6(t + 2) Reorder the terms: 2(-6 + 2t) = 6(t + 2) (-6 * 2 + 2t * 2) = 6(t + 2) (-12 + 4t) = 6(t + 2) Reorder the terms: -12 + 4t = 6(2 + t) -12 + 4t = (2 * 6 + t * 6) -12 + 4t = (12 + 6t) Solving -12 + 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. -12 + 4t + -6t = 12 + 6t + -6t Combine like terms: 4t + -6t = -2t -12 + -2t = 12 + 6t + -6t Combine like terms: 6t + -6t = 0 -12 + -2t = 12 + 0 -12 + -2t = 12 Add '12' to each side of the equation. -12 + 12 + -2t = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -2t = 12 + 12 -2t = 12 + 12 Combine like terms: 12 + 12 = 24 -2t = 24 Divide each side by '-2'. t = -12 Simplifying t = -12
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