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Simplifying 8(t + -3) + 4 = 4(3t + 5) + -9 Reorder the terms: 8(-3 + t) + 4 = 4(3t + 5) + -9 (-3 * 8 + t * 8) + 4 = 4(3t + 5) + -9 (-24 + 8t) + 4 = 4(3t + 5) + -9 Reorder the terms: -24 + 4 + 8t = 4(3t + 5) + -9 Combine like terms: -24 + 4 = -20 -20 + 8t = 4(3t + 5) + -9 Reorder the terms: -20 + 8t = 4(5 + 3t) + -9 -20 + 8t = (5 * 4 + 3t * 4) + -9 -20 + 8t = (20 + 12t) + -9 Reorder the terms: -20 + 8t = 20 + -9 + 12t Combine like terms: 20 + -9 = 11 -20 + 8t = 11 + 12t Solving -20 + 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. -20 + 8t + -12t = 11 + 12t + -12t Combine like terms: 8t + -12t = -4t -20 + -4t = 11 + 12t + -12t Combine like terms: 12t + -12t = 0 -20 + -4t = 11 + 0 -20 + -4t = 11 Add '20' to each side of the equation. -20 + 20 + -4t = 11 + 20 Combine like terms: -20 + 20 = 0 0 + -4t = 11 + 20 -4t = 11 + 20 Combine like terms: 11 + 20 = 31 -4t = 31 Divide each side by '-4'. t = -7.75 Simplifying t = -7.75
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