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Simplifying -4(t + -2) + -13 = -3(t + 3) Reorder the terms: -4(-2 + t) + -13 = -3(t + 3) (-2 * -4 + t * -4) + -13 = -3(t + 3) (8 + -4t) + -13 = -3(t + 3) Reorder the terms: 8 + -13 + -4t = -3(t + 3) Combine like terms: 8 + -13 = -5 -5 + -4t = -3(t + 3) Reorder the terms: -5 + -4t = -3(3 + t) -5 + -4t = (3 * -3 + t * -3) -5 + -4t = (-9 + -3t) Solving -5 + -4t = -9 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -5 + -4t + 3t = -9 + -3t + 3t Combine like terms: -4t + 3t = -1t -5 + -1t = -9 + -3t + 3t Combine like terms: -3t + 3t = 0 -5 + -1t = -9 + 0 -5 + -1t = -9 Add '5' to each side of the equation. -5 + 5 + -1t = -9 + 5 Combine like terms: -5 + 5 = 0 0 + -1t = -9 + 5 -1t = -9 + 5 Combine like terms: -9 + 5 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4
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