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Simplifying 5(t + -8) + -3(7t + 8) = -17(t + 4) + -1 Reorder the terms: 5(-8 + t) + -3(7t + 8) = -17(t + 4) + -1 (-8 * 5 + t * 5) + -3(7t + 8) = -17(t + 4) + -1 (-40 + 5t) + -3(7t + 8) = -17(t + 4) + -1 Reorder the terms: -40 + 5t + -3(8 + 7t) = -17(t + 4) + -1 -40 + 5t + (8 * -3 + 7t * -3) = -17(t + 4) + -1 -40 + 5t + (-24 + -21t) = -17(t + 4) + -1 Reorder the terms: -40 + -24 + 5t + -21t = -17(t + 4) + -1 Combine like terms: -40 + -24 = -64 -64 + 5t + -21t = -17(t + 4) + -1 Combine like terms: 5t + -21t = -16t -64 + -16t = -17(t + 4) + -1 Reorder the terms: -64 + -16t = -17(4 + t) + -1 -64 + -16t = (4 * -17 + t * -17) + -1 -64 + -16t = (-68 + -17t) + -1 Reorder the terms: -64 + -16t = -68 + -1 + -17t Combine like terms: -68 + -1 = -69 -64 + -16t = -69 + -17t Solving -64 + -16t = -69 + -17t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '17t' to each side of the equation. -64 + -16t + 17t = -69 + -17t + 17t Combine like terms: -16t + 17t = 1t -64 + 1t = -69 + -17t + 17t Combine like terms: -17t + 17t = 0 -64 + 1t = -69 + 0 -64 + 1t = -69 Add '64' to each side of the equation. -64 + 64 + 1t = -69 + 64 Combine like terms: -64 + 64 = 0 0 + 1t = -69 + 64 1t = -69 + 64 Combine like terms: -69 + 64 = -5 1t = -5 Divide each side by '1'. t = -5 Simplifying t = -5
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