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Simplifying 8(t + -6) + 4 = 4(3t + 5) + -9 Reorder the terms: 8(-6 + t) + 4 = 4(3t + 5) + -9 (-6 * 8 + t * 8) + 4 = 4(3t + 5) + -9 (-48 + 8t) + 4 = 4(3t + 5) + -9 Reorder the terms: -48 + 4 + 8t = 4(3t + 5) + -9 Combine like terms: -48 + 4 = -44 -44 + 8t = 4(3t + 5) + -9 Reorder the terms: -44 + 8t = 4(5 + 3t) + -9 -44 + 8t = (5 * 4 + 3t * 4) + -9 -44 + 8t = (20 + 12t) + -9 Reorder the terms: -44 + 8t = 20 + -9 + 12t Combine like terms: 20 + -9 = 11 -44 + 8t = 11 + 12t Solving -44 + 8t = 11 + 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. -44 + 8t + -12t = 11 + 12t + -12t Combine like terms: 8t + -12t = -4t -44 + -4t = 11 + 12t + -12t Combine like terms: 12t + -12t = 0 -44 + -4t = 11 + 0 -44 + -4t = 11 Add '44' to each side of the equation. -44 + 44 + -4t = 11 + 44 Combine like terms: -44 + 44 = 0 0 + -4t = 11 + 44 -4t = 11 + 44 Combine like terms: 11 + 44 = 55 -4t = 55 Divide each side by '-4'. t = -13.75 Simplifying t = -13.75
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