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Simplifying 9(t + -13) = 4(t + -3) Reorder the terms: 9(-13 + t) = 4(t + -3) (-13 * 9 + t * 9) = 4(t + -3) (-117 + 9t) = 4(t + -3) Reorder the terms: -117 + 9t = 4(-3 + t) -117 + 9t = (-3 * 4 + t * 4) -117 + 9t = (-12 + 4t) Solving -117 + 9t = -12 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -117 + 9t + -4t = -12 + 4t + -4t Combine like terms: 9t + -4t = 5t -117 + 5t = -12 + 4t + -4t Combine like terms: 4t + -4t = 0 -117 + 5t = -12 + 0 -117 + 5t = -12 Add '117' to each side of the equation. -117 + 117 + 5t = -12 + 117 Combine like terms: -117 + 117 = 0 0 + 5t = -12 + 117 5t = -12 + 117 Combine like terms: -12 + 117 = 105 5t = 105 Divide each side by '5'. t = 21 Simplifying t = 21
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