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Simplifying -13t + 4(3t + -7) = 13t Reorder the terms: -13t + 4(-7 + 3t) = 13t -13t + (-7 * 4 + 3t * 4) = 13t -13t + (-28 + 12t) = 13t Reorder the terms: -28 + -13t + 12t = 13t Combine like terms: -13t + 12t = -1t -28 + -1t = 13t Solving -28 + -1t = 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. -28 + -1t + -13t = 13t + -13t Combine like terms: -1t + -13t = -14t -28 + -14t = 13t + -13t Combine like terms: 13t + -13t = 0 -28 + -14t = 0 Add '28' to each side of the equation. -28 + 28 + -14t = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -14t = 0 + 28 -14t = 0 + 28 Combine like terms: 0 + 28 = 28 -14t = 28 Divide each side by '-14'. t = -2 Simplifying t = -2
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