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Simplifying 8(t + -5) + 6 = 7(2t + 5) + -13 Reorder the terms: 8(-5 + t) + 6 = 7(2t + 5) + -13 (-5 * 8 + t * 8) + 6 = 7(2t + 5) + -13 (-40 + 8t) + 6 = 7(2t + 5) + -13 Reorder the terms: -40 + 6 + 8t = 7(2t + 5) + -13 Combine like terms: -40 + 6 = -34 -34 + 8t = 7(2t + 5) + -13 Reorder the terms: -34 + 8t = 7(5 + 2t) + -13 -34 + 8t = (5 * 7 + 2t * 7) + -13 -34 + 8t = (35 + 14t) + -13 Reorder the terms: -34 + 8t = 35 + -13 + 14t Combine like terms: 35 + -13 = 22 -34 + 8t = 22 + 14t Solving -34 + 8t = 22 + 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. -34 + 8t + -14t = 22 + 14t + -14t Combine like terms: 8t + -14t = -6t -34 + -6t = 22 + 14t + -14t Combine like terms: 14t + -14t = 0 -34 + -6t = 22 + 0 -34 + -6t = 22 Add '34' to each side of the equation. -34 + 34 + -6t = 22 + 34 Combine like terms: -34 + 34 = 0 0 + -6t = 22 + 34 -6t = 22 + 34 Combine like terms: 22 + 34 = 56 -6t = 56 Divide each side by '-6'. t = -9.333333333 Simplifying t = -9.333333333
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