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Simplifying 2(2t + -2) = 6(t + 2) Reorder the terms: 2(-2 + 2t) = 6(t + 2) (-2 * 2 + 2t * 2) = 6(t + 2) (-4 + 4t) = 6(t + 2) Reorder the terms: -4 + 4t = 6(2 + t) -4 + 4t = (2 * 6 + t * 6) -4 + 4t = (12 + 6t) Solving -4 + 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. -4 + 4t + -6t = 12 + 6t + -6t Combine like terms: 4t + -6t = -2t -4 + -2t = 12 + 6t + -6t Combine like terms: 6t + -6t = 0 -4 + -2t = 12 + 0 -4 + -2t = 12 Add '4' to each side of the equation. -4 + 4 + -2t = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -2t = 12 + 4 -2t = 12 + 4 Combine like terms: 12 + 4 = 16 -2t = 16 Divide each side by '-2'. t = -8 Simplifying t = -8
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