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Simplifying 4(t + 4) + -10 = 4(3t + 2) Reorder the terms: 4(4 + t) + -10 = 4(3t + 2) (4 * 4 + t * 4) + -10 = 4(3t + 2) (16 + 4t) + -10 = 4(3t + 2) Reorder the terms: 16 + -10 + 4t = 4(3t + 2) Combine like terms: 16 + -10 = 6 6 + 4t = 4(3t + 2) Reorder the terms: 6 + 4t = 4(2 + 3t) 6 + 4t = (2 * 4 + 3t * 4) 6 + 4t = (8 + 12t) Solving 6 + 4t = 8 + 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. 6 + 4t + -12t = 8 + 12t + -12t Combine like terms: 4t + -12t = -8t 6 + -8t = 8 + 12t + -12t Combine like terms: 12t + -12t = 0 6 + -8t = 8 + 0 6 + -8t = 8 Add '-6' to each side of the equation. 6 + -6 + -8t = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -8t = 8 + -6 -8t = 8 + -6 Combine like terms: 8 + -6 = 2 -8t = 2 Divide each side by '-8'. t = -0.25 Simplifying t = -0.25
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