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Simplifying -1(52 + -28) = (-40 + t) + -1(-40) Combine like terms: 52 + -28 = 24 -1(24) = (-40 + t) + -1(-40) Multiply -1 * 24 -24 = (-40 + t) + -1(-40) Remove parenthesis around (-40 + t) -24 = -40 + t + -1(-40) Multiply -1 * -40 -24 = -40 + t + 40 Reorder the terms: -24 = -40 + 40 + t Combine like terms: -40 + 40 = 0 -24 = 0 + t -24 = t Solving -24 = 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. -24 + -1t = t + -1t Combine like terms: t + -1t = 0 -24 + -1t = 0 Add '24' to each side of the equation. -24 + 24 + -1t = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1t = 0 + 24 -1t = 0 + 24 Combine like terms: 0 + 24 = 24 -1t = 24 Divide each side by '-1'. t = -24 Simplifying t = -24
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