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Simplifying 5(t + -8) = t + -10 Reorder the terms: 5(-8 + t) = t + -10 (-8 * 5 + t * 5) = t + -10 (-40 + 5t) = t + -10 Reorder the terms: -40 + 5t = -10 + t Solving -40 + 5t = -10 + 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. -40 + 5t + -1t = -10 + t + -1t Combine like terms: 5t + -1t = 4t -40 + 4t = -10 + t + -1t Combine like terms: t + -1t = 0 -40 + 4t = -10 + 0 -40 + 4t = -10 Add '40' to each side of the equation. -40 + 40 + 4t = -10 + 40 Combine like terms: -40 + 40 = 0 0 + 4t = -10 + 40 4t = -10 + 40 Combine like terms: -10 + 40 = 30 4t = 30 Divide each side by '4'. t = 7.5 Simplifying t = 7.5
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