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Simplifying 9 + 8(t + -5) = 6(t + 4) + 9 Reorder the terms: 9 + 8(-5 + t) = 6(t + 4) + 9 9 + (-5 * 8 + t * 8) = 6(t + 4) + 9 9 + (-40 + 8t) = 6(t + 4) + 9 Combine like terms: 9 + -40 = -31 -31 + 8t = 6(t + 4) + 9 Reorder the terms: -31 + 8t = 6(4 + t) + 9 -31 + 8t = (4 * 6 + t * 6) + 9 -31 + 8t = (24 + 6t) + 9 Reorder the terms: -31 + 8t = 24 + 9 + 6t Combine like terms: 24 + 9 = 33 -31 + 8t = 33 + 6t Solving -31 + 8t = 33 + 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. -31 + 8t + -6t = 33 + 6t + -6t Combine like terms: 8t + -6t = 2t -31 + 2t = 33 + 6t + -6t Combine like terms: 6t + -6t = 0 -31 + 2t = 33 + 0 -31 + 2t = 33 Add '31' to each side of the equation. -31 + 31 + 2t = 33 + 31 Combine like terms: -31 + 31 = 0 0 + 2t = 33 + 31 2t = 33 + 31 Combine like terms: 33 + 31 = 64 2t = 64 Divide each side by '2'. t = 32 Simplifying t = 32
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