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Simplifying 10(t + -4) + 4 = 7(2t + 2) + -11 Reorder the terms: 10(-4 + t) + 4 = 7(2t + 2) + -11 (-4 * 10 + t * 10) + 4 = 7(2t + 2) + -11 (-40 + 10t) + 4 = 7(2t + 2) + -11 Reorder the terms: -40 + 4 + 10t = 7(2t + 2) + -11 Combine like terms: -40 + 4 = -36 -36 + 10t = 7(2t + 2) + -11 Reorder the terms: -36 + 10t = 7(2 + 2t) + -11 -36 + 10t = (2 * 7 + 2t * 7) + -11 -36 + 10t = (14 + 14t) + -11 Reorder the terms: -36 + 10t = 14 + -11 + 14t Combine like terms: 14 + -11 = 3 -36 + 10t = 3 + 14t Solving -36 + 10t = 3 + 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. -36 + 10t + -14t = 3 + 14t + -14t Combine like terms: 10t + -14t = -4t -36 + -4t = 3 + 14t + -14t Combine like terms: 14t + -14t = 0 -36 + -4t = 3 + 0 -36 + -4t = 3 Add '36' to each side of the equation. -36 + 36 + -4t = 3 + 36 Combine like terms: -36 + 36 = 0 0 + -4t = 3 + 36 -4t = 3 + 36 Combine like terms: 3 + 36 = 39 -4t = 39 Divide each side by '-4'. t = -9.75 Simplifying t = -9.75
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