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Simplifying 8(t + -2) = 6(2t + 4) + -11 Reorder the terms: 8(-2 + t) = 6(2t + 4) + -11 (-2 * 8 + t * 8) = 6(2t + 4) + -11 (-16 + 8t) = 6(2t + 4) + -11 Reorder the terms: -16 + 8t = 6(4 + 2t) + -11 -16 + 8t = (4 * 6 + 2t * 6) + -11 -16 + 8t = (24 + 12t) + -11 Reorder the terms: -16 + 8t = 24 + -11 + 12t Combine like terms: 24 + -11 = 13 -16 + 8t = 13 + 12t Solving -16 + 8t = 13 + 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. -16 + 8t + -12t = 13 + 12t + -12t Combine like terms: 8t + -12t = -4t -16 + -4t = 13 + 12t + -12t Combine like terms: 12t + -12t = 0 -16 + -4t = 13 + 0 -16 + -4t = 13 Add '16' to each side of the equation. -16 + 16 + -4t = 13 + 16 Combine like terms: -16 + 16 = 0 0 + -4t = 13 + 16 -4t = 13 + 16 Combine like terms: 13 + 16 = 29 -4t = 29 Divide each side by '-4'. t = -7.25 Simplifying t = -7.25
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