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Simplifying 3(4t + -6) + -10(t + 1) = 4 Reorder the terms: 3(-6 + 4t) + -10(t + 1) = 4 (-6 * 3 + 4t * 3) + -10(t + 1) = 4 (-18 + 12t) + -10(t + 1) = 4 Reorder the terms: -18 + 12t + -10(1 + t) = 4 -18 + 12t + (1 * -10 + t * -10) = 4 -18 + 12t + (-10 + -10t) = 4 Reorder the terms: -18 + -10 + 12t + -10t = 4 Combine like terms: -18 + -10 = -28 -28 + 12t + -10t = 4 Combine like terms: 12t + -10t = 2t -28 + 2t = 4 Solving -28 + 2t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 2t = 4 + 28 Combine like terms: -28 + 28 = 0 0 + 2t = 4 + 28 2t = 4 + 28 Combine like terms: 4 + 28 = 32 2t = 32 Divide each side by '2'. t = 16 Simplifying t = 16
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