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Simplifying -4(t + -4) + 7t = 8t + -2 Reorder the terms: -4(-4 + t) + 7t = 8t + -2 (-4 * -4 + t * -4) + 7t = 8t + -2 (16 + -4t) + 7t = 8t + -2 Combine like terms: -4t + 7t = 3t 16 + 3t = 8t + -2 Reorder the terms: 16 + 3t = -2 + 8t Solving 16 + 3t = -2 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 16 + 3t + -8t = -2 + 8t + -8t Combine like terms: 3t + -8t = -5t 16 + -5t = -2 + 8t + -8t Combine like terms: 8t + -8t = 0 16 + -5t = -2 + 0 16 + -5t = -2 Add '-16' to each side of the equation. 16 + -16 + -5t = -2 + -16 Combine like terms: 16 + -16 = 0 0 + -5t = -2 + -16 -5t = -2 + -16 Combine like terms: -2 + -16 = -18 -5t = -18 Divide each side by '-5'. t = 3.6 Simplifying t = 3.6
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