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Simplifying 3(3t + -5) + 13 = 4(t + -3) Reorder the terms: 3(-5 + 3t) + 13 = 4(t + -3) (-5 * 3 + 3t * 3) + 13 = 4(t + -3) (-15 + 9t) + 13 = 4(t + -3) Reorder the terms: -15 + 13 + 9t = 4(t + -3) Combine like terms: -15 + 13 = -2 -2 + 9t = 4(t + -3) Reorder the terms: -2 + 9t = 4(-3 + t) -2 + 9t = (-3 * 4 + t * 4) -2 + 9t = (-12 + 4t) Solving -2 + 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. -2 + 9t + -4t = -12 + 4t + -4t Combine like terms: 9t + -4t = 5t -2 + 5t = -12 + 4t + -4t Combine like terms: 4t + -4t = 0 -2 + 5t = -12 + 0 -2 + 5t = -12 Add '2' to each side of the equation. -2 + 2 + 5t = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 5t = -12 + 2 5t = -12 + 2 Combine like terms: -12 + 2 = -10 5t = -10 Divide each side by '5'. t = -2 Simplifying t = -2
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