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Simplifying -4(t + -4) + 7t = 9t + -6 Reorder the terms: -4(-4 + t) + 7t = 9t + -6 (-4 * -4 + t * -4) + 7t = 9t + -6 (16 + -4t) + 7t = 9t + -6 Combine like terms: -4t + 7t = 3t 16 + 3t = 9t + -6 Reorder the terms: 16 + 3t = -6 + 9t Solving 16 + 3t = -6 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 16 + 3t + -9t = -6 + 9t + -9t Combine like terms: 3t + -9t = -6t 16 + -6t = -6 + 9t + -9t Combine like terms: 9t + -9t = 0 16 + -6t = -6 + 0 16 + -6t = -6 Add '-16' to each side of the equation. 16 + -16 + -6t = -6 + -16 Combine like terms: 16 + -16 = 0 0 + -6t = -6 + -16 -6t = -6 + -16 Combine like terms: -6 + -16 = -22 -6t = -22 Divide each side by '-6'. t = 3.666666667 Simplifying t = 3.666666667
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