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Simplifying 3(t + -4) = 10 + t Reorder the terms: 3(-4 + t) = 10 + t (-4 * 3 + t * 3) = 10 + t (-12 + 3t) = 10 + t Solving -12 + 3t = 10 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -12 + 3t + -1t = 10 + t + -1t Combine like terms: 3t + -1t = 2t -12 + 2t = 10 + t + -1t Combine like terms: t + -1t = 0 -12 + 2t = 10 + 0 -12 + 2t = 10 Add '12' to each side of the equation. -12 + 12 + 2t = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 2t = 10 + 12 2t = 10 + 12 Combine like terms: 10 + 12 = 22 2t = 22 Divide each side by '2'. t = 11 Simplifying t = 11
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