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Simplifying 9 + 8(t + -7) = 6(t + 5) + 7 Reorder the terms: 9 + 8(-7 + t) = 6(t + 5) + 7 9 + (-7 * 8 + t * 8) = 6(t + 5) + 7 9 + (-56 + 8t) = 6(t + 5) + 7 Combine like terms: 9 + -56 = -47 -47 + 8t = 6(t + 5) + 7 Reorder the terms: -47 + 8t = 6(5 + t) + 7 -47 + 8t = (5 * 6 + t * 6) + 7 -47 + 8t = (30 + 6t) + 7 Reorder the terms: -47 + 8t = 30 + 7 + 6t Combine like terms: 30 + 7 = 37 -47 + 8t = 37 + 6t Solving -47 + 8t = 37 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -47 + 8t + -6t = 37 + 6t + -6t Combine like terms: 8t + -6t = 2t -47 + 2t = 37 + 6t + -6t Combine like terms: 6t + -6t = 0 -47 + 2t = 37 + 0 -47 + 2t = 37 Add '47' to each side of the equation. -47 + 47 + 2t = 37 + 47 Combine like terms: -47 + 47 = 0 0 + 2t = 37 + 47 2t = 37 + 47 Combine like terms: 37 + 47 = 84 2t = 84 Divide each side by '2'. t = 42 Simplifying t = 42
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