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Simplifying 10(t + -4) + 5 = 5(3t + 4) + -9 Reorder the terms: 10(-4 + t) + 5 = 5(3t + 4) + -9 (-4 * 10 + t * 10) + 5 = 5(3t + 4) + -9 (-40 + 10t) + 5 = 5(3t + 4) + -9 Reorder the terms: -40 + 5 + 10t = 5(3t + 4) + -9 Combine like terms: -40 + 5 = -35 -35 + 10t = 5(3t + 4) + -9 Reorder the terms: -35 + 10t = 5(4 + 3t) + -9 -35 + 10t = (4 * 5 + 3t * 5) + -9 -35 + 10t = (20 + 15t) + -9 Reorder the terms: -35 + 10t = 20 + -9 + 15t Combine like terms: 20 + -9 = 11 -35 + 10t = 11 + 15t Solving -35 + 10t = 11 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. -35 + 10t + -15t = 11 + 15t + -15t Combine like terms: 10t + -15t = -5t -35 + -5t = 11 + 15t + -15t Combine like terms: 15t + -15t = 0 -35 + -5t = 11 + 0 -35 + -5t = 11 Add '35' to each side of the equation. -35 + 35 + -5t = 11 + 35 Combine like terms: -35 + 35 = 0 0 + -5t = 11 + 35 -5t = 11 + 35 Combine like terms: 11 + 35 = 46 -5t = 46 Divide each side by '-5'. t = -9.2 Simplifying t = -9.2
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