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Simplifying -1t + -3 + 4t = 3(3t + -9) Reorder the terms: -3 + -1t + 4t = 3(3t + -9) Combine like terms: -1t + 4t = 3t -3 + 3t = 3(3t + -9) Reorder the terms: -3 + 3t = 3(-9 + 3t) -3 + 3t = (-9 * 3 + 3t * 3) -3 + 3t = (-27 + 9t) Solving -3 + 3t = -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. -3 + 3t + -9t = -27 + 9t + -9t Combine like terms: 3t + -9t = -6t -3 + -6t = -27 + 9t + -9t Combine like terms: 9t + -9t = 0 -3 + -6t = -27 + 0 -3 + -6t = -27 Add '3' to each side of the equation. -3 + 3 + -6t = -27 + 3 Combine like terms: -3 + 3 = 0 0 + -6t = -27 + 3 -6t = -27 + 3 Combine like terms: -27 + 3 = -24 -6t = -24 Divide each side by '-6'. t = 4 Simplifying t = 4
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