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Simplifying 8(t + -5) + 4t = 4(3 + 4) + -13 Reorder the terms: 8(-5 + t) + 4t = 4(3 + 4) + -13 (-5 * 8 + t * 8) + 4t = 4(3 + 4) + -13 (-40 + 8t) + 4t = 4(3 + 4) + -13 Combine like terms: 8t + 4t = 12t -40 + 12t = 4(3 + 4) + -13 Combine like terms: 3 + 4 = 7 -40 + 12t = 4(7) + -13 Multiply 4 * 7 -40 + 12t = 28 + -13 Combine like terms: 28 + -13 = 15 -40 + 12t = 15 Solving -40 + 12t = 15 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 12t = 15 + 40 Combine like terms: -40 + 40 = 0 0 + 12t = 15 + 40 12t = 15 + 40 Combine like terms: 15 + 40 = 55 12t = 55 Divide each side by '12'. t = 4.583333333 Simplifying t = 4.583333333
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