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Simplifying 3(5t + -4) = 3t + 11 Reorder the terms: 3(-4 + 5t) = 3t + 11 (-4 * 3 + 5t * 3) = 3t + 11 (-12 + 15t) = 3t + 11 Reorder the terms: -12 + 15t = 11 + 3t Solving -12 + 15t = 11 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -12 + 15t + -3t = 11 + 3t + -3t Combine like terms: 15t + -3t = 12t -12 + 12t = 11 + 3t + -3t Combine like terms: 3t + -3t = 0 -12 + 12t = 11 + 0 -12 + 12t = 11 Add '12' to each side of the equation. -12 + 12 + 12t = 11 + 12 Combine like terms: -12 + 12 = 0 0 + 12t = 11 + 12 12t = 11 + 12 Combine like terms: 11 + 12 = 23 12t = 23 Divide each side by '12'. t = 1.916666667 Simplifying t = 1.916666667
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