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Simplifying -4(t + -3) + 7t = 9t + -7 Reorder the terms: -4(-3 + t) + 7t = 9t + -7 (-3 * -4 + t * -4) + 7t = 9t + -7 (12 + -4t) + 7t = 9t + -7 Combine like terms: -4t + 7t = 3t 12 + 3t = 9t + -7 Reorder the terms: 12 + 3t = -7 + 9t Solving 12 + 3t = -7 + 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. 12 + 3t + -9t = -7 + 9t + -9t Combine like terms: 3t + -9t = -6t 12 + -6t = -7 + 9t + -9t Combine like terms: 9t + -9t = 0 12 + -6t = -7 + 0 12 + -6t = -7 Add '-12' to each side of the equation. 12 + -12 + -6t = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -6t = -7 + -12 -6t = -7 + -12 Combine like terms: -7 + -12 = -19 -6t = -19 Divide each side by '-6'. t = 3.166666667 Simplifying t = 3.166666667
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