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Simplifying 4[t + -2] + -3[t + 1] = 0 Reorder the terms: 4[-2 + t] + -3[t + 1] = 0 [-2 * 4 + t * 4] + -3[t + 1] = 0 [-8 + 4t] + -3[t + 1] = 0 Reorder the terms: -8 + 4t + -3[1 + t] = 0 -8 + 4t + [1 * -3 + t * -3] = 0 -8 + 4t + [-3 + -3t] = 0 Reorder the terms: -8 + -3 + 4t + -3t = 0 Combine like terms: -8 + -3 = -11 -11 + 4t + -3t = 0 Combine like terms: 4t + -3t = 1t -11 + 1t = 0 Solving -11 + 1t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1t = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1t = 0 + 11 1t = 0 + 11 Combine like terms: 0 + 11 = 11 1t = 11 Divide each side by '1'. t = 11 Simplifying t = 11
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