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Simplifying 7(t + 4) + -10 = 4(3t + 2) Reorder the terms: 7(4 + t) + -10 = 4(3t + 2) (4 * 7 + t * 7) + -10 = 4(3t + 2) (28 + 7t) + -10 = 4(3t + 2) Reorder the terms: 28 + -10 + 7t = 4(3t + 2) Combine like terms: 28 + -10 = 18 18 + 7t = 4(3t + 2) Reorder the terms: 18 + 7t = 4(2 + 3t) 18 + 7t = (2 * 4 + 3t * 4) 18 + 7t = (8 + 12t) Solving 18 + 7t = 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. 18 + 7t + -12t = 8 + 12t + -12t Combine like terms: 7t + -12t = -5t 18 + -5t = 8 + 12t + -12t Combine like terms: 12t + -12t = 0 18 + -5t = 8 + 0 18 + -5t = 8 Add '-18' to each side of the equation. 18 + -18 + -5t = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -5t = 8 + -18 -5t = 8 + -18 Combine like terms: 8 + -18 = -10 -5t = -10 Divide each side by '-5'. t = 2 Simplifying t = 2
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