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Simplifying 4(t + -13) = 9(t + -3) Reorder the terms: 4(-13 + t) = 9(t + -3) (-13 * 4 + t * 4) = 9(t + -3) (-52 + 4t) = 9(t + -3) Reorder the terms: -52 + 4t = 9(-3 + t) -52 + 4t = (-3 * 9 + t * 9) -52 + 4t = (-27 + 9t) Solving -52 + 4t = -27 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -52 + 4t + -9t = -27 + 9t + -9t Combine like terms: 4t + -9t = -5t -52 + -5t = -27 + 9t + -9t Combine like terms: 9t + -9t = 0 -52 + -5t = -27 + 0 -52 + -5t = -27 Add '52' to each side of the equation. -52 + 52 + -5t = -27 + 52 Combine like terms: -52 + 52 = 0 0 + -5t = -27 + 52 -5t = -27 + 52 Combine like terms: -27 + 52 = 25 -5t = 25 Divide each side by '-5'. t = -5 Simplifying t = -5
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