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Simplifying -9(-3t + 8) = -13t + 48 Reorder the terms: -9(8 + -3t) = -13t + 48 (8 * -9 + -3t * -9) = -13t + 48 (-72 + 27t) = -13t + 48 Reorder the terms: -72 + 27t = 48 + -13t Solving -72 + 27t = 48 + -13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '13t' to each side of the equation. -72 + 27t + 13t = 48 + -13t + 13t Combine like terms: 27t + 13t = 40t -72 + 40t = 48 + -13t + 13t Combine like terms: -13t + 13t = 0 -72 + 40t = 48 + 0 -72 + 40t = 48 Add '72' to each side of the equation. -72 + 72 + 40t = 48 + 72 Combine like terms: -72 + 72 = 0 0 + 40t = 48 + 72 40t = 48 + 72 Combine like terms: 48 + 72 = 120 40t = 120 Divide each side by '40'. t = 3 Simplifying t = 3
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