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Simplifying 5(t + -8) + -3(t + -7) = 13 Reorder the terms: 5(-8 + t) + -3(t + -7) = 13 (-8 * 5 + t * 5) + -3(t + -7) = 13 (-40 + 5t) + -3(t + -7) = 13 Reorder the terms: -40 + 5t + -3(-7 + t) = 13 -40 + 5t + (-7 * -3 + t * -3) = 13 -40 + 5t + (21 + -3t) = 13 Reorder the terms: -40 + 21 + 5t + -3t = 13 Combine like terms: -40 + 21 = -19 -19 + 5t + -3t = 13 Combine like terms: 5t + -3t = 2t -19 + 2t = 13 Solving -19 + 2t = 13 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 2t = 13 + 19 Combine like terms: -19 + 19 = 0 0 + 2t = 13 + 19 2t = 13 + 19 Combine like terms: 13 + 19 = 32 2t = 32 Divide each side by '2'. t = 16 Simplifying t = 16
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