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Simplifying 7t + -28 = -38 + 9t Reorder the terms: -28 + 7t = -38 + 9t Solving -28 + 7t = -38 + 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. -28 + 7t + -9t = -38 + 9t + -9t Combine like terms: 7t + -9t = -2t -28 + -2t = -38 + 9t + -9t Combine like terms: 9t + -9t = 0 -28 + -2t = -38 + 0 -28 + -2t = -38 Add '28' to each side of the equation. -28 + 28 + -2t = -38 + 28 Combine like terms: -28 + 28 = 0 0 + -2t = -38 + 28 -2t = -38 + 28 Combine like terms: -38 + 28 = -10 -2t = -10 Divide each side by '-2'. t = 5 Simplifying t = 5
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