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Simplifying 9 + -5(t + 8) + 7 + 6t + 3t = 0 Reorder the terms: 9 + -5(8 + t) + 7 + 6t + 3t = 0 9 + (8 * -5 + t * -5) + 7 + 6t + 3t = 0 9 + (-40 + -5t) + 7 + 6t + 3t = 0 Reorder the terms: 9 + -40 + 7 + -5t + 6t + 3t = 0 Combine like terms: 9 + -40 = -31 -31 + 7 + -5t + 6t + 3t = 0 Combine like terms: -31 + 7 = -24 -24 + -5t + 6t + 3t = 0 Combine like terms: -5t + 6t = 1t -24 + 1t + 3t = 0 Combine like terms: 1t + 3t = 4t -24 + 4t = 0 Solving -24 + 4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 4t = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 4t = 0 + 24 4t = 0 + 24 Combine like terms: 0 + 24 = 24 4t = 24 Divide each side by '4'. t = 6 Simplifying t = 6
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