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Simplifying -4(t + -3) + 8 = 7t + -4 Reorder the terms: -4(-3 + t) + 8 = 7t + -4 (-3 * -4 + t * -4) + 8 = 7t + -4 (12 + -4t) + 8 = 7t + -4 Reorder the terms: 12 + 8 + -4t = 7t + -4 Combine like terms: 12 + 8 = 20 20 + -4t = 7t + -4 Reorder the terms: 20 + -4t = -4 + 7t Solving 20 + -4t = -4 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 20 + -4t + -7t = -4 + 7t + -7t Combine like terms: -4t + -7t = -11t 20 + -11t = -4 + 7t + -7t Combine like terms: 7t + -7t = 0 20 + -11t = -4 + 0 20 + -11t = -4 Add '-20' to each side of the equation. 20 + -20 + -11t = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -11t = -4 + -20 -11t = -4 + -20 Combine like terms: -4 + -20 = -24 -11t = -24 Divide each side by '-11'. t = 2.181818182 Simplifying t = 2.181818182
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