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Simplifying 6t + -12 = 4(t + -1) Reorder the terms: -12 + 6t = 4(t + -1) Reorder the terms: -12 + 6t = 4(-1 + t) -12 + 6t = (-1 * 4 + t * 4) -12 + 6t = (-4 + 4t) Solving -12 + 6t = -4 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -12 + 6t + -4t = -4 + 4t + -4t Combine like terms: 6t + -4t = 2t -12 + 2t = -4 + 4t + -4t Combine like terms: 4t + -4t = 0 -12 + 2t = -4 + 0 -12 + 2t = -4 Add '12' to each side of the equation. -12 + 12 + 2t = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 2t = -4 + 12 2t = -4 + 12 Combine like terms: -4 + 12 = 8 2t = 8 Divide each side by '2'. t = 4 Simplifying t = 4
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