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Simplifying 12 + -2(7 + 2t) = 2(t + -1) 12 + (7 * -2 + 2t * -2) = 2(t + -1) 12 + (-14 + -4t) = 2(t + -1) Combine like terms: 12 + -14 = -2 -2 + -4t = 2(t + -1) Reorder the terms: -2 + -4t = 2(-1 + t) -2 + -4t = (-1 * 2 + t * 2) -2 + -4t = (-2 + 2t) Add '2' to each side of the equation. -2 + 2 + -4t = -2 + 2 + 2t Combine like terms: -2 + 2 = 0 0 + -4t = -2 + 2 + 2t -4t = -2 + 2 + 2t Combine like terms: -2 + 2 = 0 -4t = 0 + 2t -4t = 2t Solving -4t = 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -4t + -2t = 2t + -2t Combine like terms: -4t + -2t = -6t -6t = 2t + -2t Combine like terms: 2t + -2t = 0 -6t = 0 Divide each side by '-6'. t = 0 Simplifying t = 0
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