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Simplifying -1(-52 + -28) = (-40 + t) + -1(-40) Combine like terms: -52 + -28 = -80 -1(-80) = (-40 + t) + -1(-40) Multiply -1 * -80 80 = (-40 + t) + -1(-40) Remove parenthesis around (-40 + t) 80 = -40 + t + -1(-40) Multiply -1 * -40 80 = -40 + t + 40 Reorder the terms: 80 = -40 + 40 + t Combine like terms: -40 + 40 = 0 80 = 0 + t 80 = t Solving 80 = t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 80 + -1t = t + -1t Combine like terms: t + -1t = 0 80 + -1t = 0 Add '-80' to each side of the equation. 80 + -80 + -1t = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -1t = 0 + -80 -1t = 0 + -80 Combine like terms: 0 + -80 = -80 -1t = -80 Divide each side by '-1'. t = 80 Simplifying t = 80
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