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Simplifying -4(t + -4) + 7t = 5t + -4 Reorder the terms: -4(-4 + t) + 7t = 5t + -4 (-4 * -4 + t * -4) + 7t = 5t + -4 (16 + -4t) + 7t = 5t + -4 Combine like terms: -4t + 7t = 3t 16 + 3t = 5t + -4 Reorder the terms: 16 + 3t = -4 + 5t Solving 16 + 3t = -4 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 16 + 3t + -5t = -4 + 5t + -5t Combine like terms: 3t + -5t = -2t 16 + -2t = -4 + 5t + -5t Combine like terms: 5t + -5t = 0 16 + -2t = -4 + 0 16 + -2t = -4 Add '-16' to each side of the equation. 16 + -16 + -2t = -4 + -16 Combine like terms: 16 + -16 = 0 0 + -2t = -4 + -16 -2t = -4 + -16 Combine like terms: -4 + -16 = -20 -2t = -20 Divide each side by '-2'. t = 10 Simplifying t = 10
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