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Simplifying 6 + -1(t + 7) = 5(3t + -4) Reorder the terms: 6 + -1(7 + t) = 5(3t + -4) 6 + (7 * -1 + t * -1) = 5(3t + -4) 6 + (-7 + -1t) = 5(3t + -4) Combine like terms: 6 + -7 = -1 -1 + -1t = 5(3t + -4) Reorder the terms: -1 + -1t = 5(-4 + 3t) -1 + -1t = (-4 * 5 + 3t * 5) -1 + -1t = (-20 + 15t) Solving -1 + -1t = -20 + 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. -1 + -1t + -15t = -20 + 15t + -15t Combine like terms: -1t + -15t = -16t -1 + -16t = -20 + 15t + -15t Combine like terms: 15t + -15t = 0 -1 + -16t = -20 + 0 -1 + -16t = -20 Add '1' to each side of the equation. -1 + 1 + -16t = -20 + 1 Combine like terms: -1 + 1 = 0 0 + -16t = -20 + 1 -16t = -20 + 1 Combine like terms: -20 + 1 = -19 -16t = -19 Divide each side by '-16'. t = 1.1875 Simplifying t = 1.1875
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