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Simplifying 4(6 + -1t) = -2(3 + t) (6 * 4 + -1t * 4) = -2(3 + t) (24 + -4t) = -2(3 + t) 24 + -4t = (3 * -2 + t * -2) 24 + -4t = (-6 + -2t) Solving 24 + -4t = -6 + -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. 24 + -4t + 2t = -6 + -2t + 2t Combine like terms: -4t + 2t = -2t 24 + -2t = -6 + -2t + 2t Combine like terms: -2t + 2t = 0 24 + -2t = -6 + 0 24 + -2t = -6 Add '-24' to each side of the equation. 24 + -24 + -2t = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -2t = -6 + -24 -2t = -6 + -24 Combine like terms: -6 + -24 = -30 -2t = -30 Divide each side by '-2'. t = 15 Simplifying t = 15
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