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Simplifying -8(2 + -1t) = -8(-7 + -2t) (2 * -8 + -1t * -8) = -8(-7 + -2t) (-16 + 8t) = -8(-7 + -2t) -16 + 8t = (-7 * -8 + -2t * -8) -16 + 8t = (56 + 16t) Solving -16 + 8t = 56 + 16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16t' to each side of the equation. -16 + 8t + -16t = 56 + 16t + -16t Combine like terms: 8t + -16t = -8t -16 + -8t = 56 + 16t + -16t Combine like terms: 16t + -16t = 0 -16 + -8t = 56 + 0 -16 + -8t = 56 Add '16' to each side of the equation. -16 + 16 + -8t = 56 + 16 Combine like terms: -16 + 16 = 0 0 + -8t = 56 + 16 -8t = 56 + 16 Combine like terms: 56 + 16 = 72 -8t = 72 Divide each side by '-8'. t = -9 Simplifying t = -9
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