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Simplifying -3(3t + -4) + 7t = 4t + -7 Reorder the terms: -3(-4 + 3t) + 7t = 4t + -7 (-4 * -3 + 3t * -3) + 7t = 4t + -7 (12 + -9t) + 7t = 4t + -7 Combine like terms: -9t + 7t = -2t 12 + -2t = 4t + -7 Reorder the terms: 12 + -2t = -7 + 4t Solving 12 + -2t = -7 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 12 + -2t + -4t = -7 + 4t + -4t Combine like terms: -2t + -4t = -6t 12 + -6t = -7 + 4t + -4t Combine like terms: 4t + -4t = 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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