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Simplifying 3(t + -4) + -1t = 6t Reorder the terms: 3(-4 + t) + -1t = 6t (-4 * 3 + t * 3) + -1t = 6t (-12 + 3t) + -1t = 6t Combine like terms: 3t + -1t = 2t -12 + 2t = 6t Solving -12 + 2t = 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 + 2t + -6t = 6t + -6t Combine like terms: 2t + -6t = -4t -12 + -4t = 6t + -6t Combine like terms: 6t + -6t = 0 -12 + -4t = 0 Add '12' to each side of the equation. -12 + 12 + -4t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -4t = 0 + 12 -4t = 0 + 12 Combine like terms: 0 + 12 = 12 -4t = 12 Divide each side by '-4'. t = -3 Simplifying t = -3
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