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Simplifying 10(t + -4) + -5t = (3t + 4) + -13 Reorder the terms: 10(-4 + t) + -5t = (3t + 4) + -13 (-4 * 10 + t * 10) + -5t = (3t + 4) + -13 (-40 + 10t) + -5t = (3t + 4) + -13 Combine like terms: 10t + -5t = 5t -40 + 5t = (3t + 4) + -13 Reorder the terms: -40 + 5t = (4 + 3t) + -13 Remove parenthesis around (4 + 3t) -40 + 5t = 4 + 3t + -13 Reorder the terms: -40 + 5t = 4 + -13 + 3t Combine like terms: 4 + -13 = -9 -40 + 5t = -9 + 3t Solving -40 + 5t = -9 + 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. -40 + 5t + -3t = -9 + 3t + -3t Combine like terms: 5t + -3t = 2t -40 + 2t = -9 + 3t + -3t Combine like terms: 3t + -3t = 0 -40 + 2t = -9 + 0 -40 + 2t = -9 Add '40' to each side of the equation. -40 + 40 + 2t = -9 + 40 Combine like terms: -40 + 40 = 0 0 + 2t = -9 + 40 2t = -9 + 40 Combine like terms: -9 + 40 = 31 2t = 31 Divide each side by '2'. t = 15.5 Simplifying t = 15.5
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