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Simplifying 2(5t + -4) = 12t + 6 Reorder the terms: 2(-4 + 5t) = 12t + 6 (-4 * 2 + 5t * 2) = 12t + 6 (-8 + 10t) = 12t + 6 Reorder the terms: -8 + 10t = 6 + 12t Solving -8 + 10t = 6 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -8 + 10t + -12t = 6 + 12t + -12t Combine like terms: 10t + -12t = -2t -8 + -2t = 6 + 12t + -12t Combine like terms: 12t + -12t = 0 -8 + -2t = 6 + 0 -8 + -2t = 6 Add '8' to each side of the equation. -8 + 8 + -2t = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -2t = 6 + 8 -2t = 6 + 8 Combine like terms: 6 + 8 = 14 -2t = 14 Divide each side by '-2'. t = -7 Simplifying t = -7
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