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Simplifying 7(4 + t) + -4(t + 3) = 0 (4 * 7 + t * 7) + -4(t + 3) = 0 (28 + 7t) + -4(t + 3) = 0 Reorder the terms: 28 + 7t + -4(3 + t) = 0 28 + 7t + (3 * -4 + t * -4) = 0 28 + 7t + (-12 + -4t) = 0 Reorder the terms: 28 + -12 + 7t + -4t = 0 Combine like terms: 28 + -12 = 16 16 + 7t + -4t = 0 Combine like terms: 7t + -4t = 3t 16 + 3t = 0 Solving 16 + 3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3t = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 3t = 0 + -16 3t = 0 + -16 Combine like terms: 0 + -16 = -16 3t = -16 Divide each side by '3'. t = -5.333333333 Simplifying t = -5.333333333
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