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Simplifying 8(t + -3) + 4 = 6(2t + 1) + -10 Reorder the terms: 8(-3 + t) + 4 = 6(2t + 1) + -10 (-3 * 8 + t * 8) + 4 = 6(2t + 1) + -10 (-24 + 8t) + 4 = 6(2t + 1) + -10 Reorder the terms: -24 + 4 + 8t = 6(2t + 1) + -10 Combine like terms: -24 + 4 = -20 -20 + 8t = 6(2t + 1) + -10 Reorder the terms: -20 + 8t = 6(1 + 2t) + -10 -20 + 8t = (1 * 6 + 2t * 6) + -10 -20 + 8t = (6 + 12t) + -10 Reorder the terms: -20 + 8t = 6 + -10 + 12t Combine like terms: 6 + -10 = -4 -20 + 8t = -4 + 12t Solving -20 + 8t = -4 + 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 = -4 + 12t + -12t Combine like terms: 8t + -12t = -4t -20 + -4t = -4 + 12t + -12t Combine like terms: 12t + -12t = 0 -20 + -4t = -4 + 0 -20 + -4t = -4 Add '20' to each side of the equation. -20 + 20 + -4t = -4 + 20 Combine like terms: -20 + 20 = 0 0 + -4t = -4 + 20 -4t = -4 + 20 Combine like terms: -4 + 20 = 16 -4t = 16 Divide each side by '-4'. t = -4 Simplifying t = -4
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