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Simplifying 8(t + -3) + 4t = (3t + 3) + -11 Reorder the terms: 8(-3 + t) + 4t = (3t + 3) + -11 (-3 * 8 + t * 8) + 4t = (3t + 3) + -11 (-24 + 8t) + 4t = (3t + 3) + -11 Combine like terms: 8t + 4t = 12t -24 + 12t = (3t + 3) + -11 Reorder the terms: -24 + 12t = (3 + 3t) + -11 Remove parenthesis around (3 + 3t) -24 + 12t = 3 + 3t + -11 Reorder the terms: -24 + 12t = 3 + -11 + 3t Combine like terms: 3 + -11 = -8 -24 + 12t = -8 + 3t Solving -24 + 12t = -8 + 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. -24 + 12t + -3t = -8 + 3t + -3t Combine like terms: 12t + -3t = 9t -24 + 9t = -8 + 3t + -3t Combine like terms: 3t + -3t = 0 -24 + 9t = -8 + 0 -24 + 9t = -8 Add '24' to each side of the equation. -24 + 24 + 9t = -8 + 24 Combine like terms: -24 + 24 = 0 0 + 9t = -8 + 24 9t = -8 + 24 Combine like terms: -8 + 24 = 16 9t = 16 Divide each side by '9'. t = 1.777777778 Simplifying t = 1.777777778
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