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Simplifying 38 + 7t = -3(t + 4) Reorder the terms: 38 + 7t = -3(4 + t) 38 + 7t = (4 * -3 + t * -3) 38 + 7t = (-12 + -3t) Solving 38 + 7t = -12 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 38 + 7t + 3t = -12 + -3t + 3t Combine like terms: 7t + 3t = 10t 38 + 10t = -12 + -3t + 3t Combine like terms: -3t + 3t = 0 38 + 10t = -12 + 0 38 + 10t = -12 Add '-38' to each side of the equation. 38 + -38 + 10t = -12 + -38 Combine like terms: 38 + -38 = 0 0 + 10t = -12 + -38 10t = -12 + -38 Combine like terms: -12 + -38 = -50 10t = -50 Divide each side by '10'. t = -5 Simplifying t = -5
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