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Simplifying -3(t + -4) = 10 + -2t Reorder the terms: -3(-4 + t) = 10 + -2t (-4 * -3 + t * -3) = 10 + -2t (12 + -3t) = 10 + -2t Solving 12 + -3t = 10 + -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. 12 + -3t + 2t = 10 + -2t + 2t Combine like terms: -3t + 2t = -1t 12 + -1t = 10 + -2t + 2t Combine like terms: -2t + 2t = 0 12 + -1t = 10 + 0 12 + -1t = 10 Add '-12' to each side of the equation. 12 + -12 + -1t = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -1t = 10 + -12 -1t = 10 + -12 Combine like terms: 10 + -12 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2
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