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Simplifying 8(4 + -3) + 4t = 6(2t + 1) + -10 Combine like terms: 4 + -3 = 1 8(1) + 4t = 6(2t + 1) + -10 Multiply 8 * 1 8 + 4t = 6(2t + 1) + -10 Reorder the terms: 8 + 4t = 6(1 + 2t) + -10 8 + 4t = (1 * 6 + 2t * 6) + -10 8 + 4t = (6 + 12t) + -10 Reorder the terms: 8 + 4t = 6 + -10 + 12t Combine like terms: 6 + -10 = -4 8 + 4t = -4 + 12t Solving 8 + 4t = -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. 8 + 4t + -12t = -4 + 12t + -12t Combine like terms: 4t + -12t = -8t 8 + -8t = -4 + 12t + -12t Combine like terms: 12t + -12t = 0 8 + -8t = -4 + 0 8 + -8t = -4 Add '-8' to each side of the equation. 8 + -8 + -8t = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -8t = -4 + -8 -8t = -4 + -8 Combine like terms: -4 + -8 = -12 -8t = -12 Divide each side by '-8'. t = 1.5 Simplifying t = 1.5
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