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Simplifying 4(t + -5) = t + 3 Reorder the terms: 4(-5 + t) = t + 3 (-5 * 4 + t * 4) = t + 3 (-20 + 4t) = t + 3 Reorder the terms: -20 + 4t = 3 + t Solving -20 + 4t = 3 + 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. -20 + 4t + -1t = 3 + t + -1t Combine like terms: 4t + -1t = 3t -20 + 3t = 3 + t + -1t Combine like terms: t + -1t = 0 -20 + 3t = 3 + 0 -20 + 3t = 3 Add '20' to each side of the equation. -20 + 20 + 3t = 3 + 20 Combine like terms: -20 + 20 = 0 0 + 3t = 3 + 20 3t = 3 + 20 Combine like terms: 3 + 20 = 23 3t = 23 Divide each side by '3'. t = 7.666666667 Simplifying t = 7.666666667
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