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Simplifying 5(t + -8) + -3(2t + -5) = 4 + -8(3t + 5) Reorder the terms: 5(-8 + t) + -3(2t + -5) = 4 + -8(3t + 5) (-8 * 5 + t * 5) + -3(2t + -5) = 4 + -8(3t + 5) (-40 + 5t) + -3(2t + -5) = 4 + -8(3t + 5) Reorder the terms: -40 + 5t + -3(-5 + 2t) = 4 + -8(3t + 5) -40 + 5t + (-5 * -3 + 2t * -3) = 4 + -8(3t + 5) -40 + 5t + (15 + -6t) = 4 + -8(3t + 5) Reorder the terms: -40 + 15 + 5t + -6t = 4 + -8(3t + 5) Combine like terms: -40 + 15 = -25 -25 + 5t + -6t = 4 + -8(3t + 5) Combine like terms: 5t + -6t = -1t -25 + -1t = 4 + -8(3t + 5) Reorder the terms: -25 + -1t = 4 + -8(5 + 3t) -25 + -1t = 4 + (5 * -8 + 3t * -8) -25 + -1t = 4 + (-40 + -24t) Combine like terms: 4 + -40 = -36 -25 + -1t = -36 + -24t Solving -25 + -1t = -36 + -24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24t' to each side of the equation. -25 + -1t + 24t = -36 + -24t + 24t Combine like terms: -1t + 24t = 23t -25 + 23t = -36 + -24t + 24t Combine like terms: -24t + 24t = 0 -25 + 23t = -36 + 0 -25 + 23t = -36 Add '25' to each side of the equation. -25 + 25 + 23t = -36 + 25 Combine like terms: -25 + 25 = 0 0 + 23t = -36 + 25 23t = -36 + 25 Combine like terms: -36 + 25 = -11 23t = -11 Divide each side by '23'. t = -0.4782608696 Simplifying t = -0.4782608696
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