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Simplifying 5[t + -2] + -3[4 + -2t] = 0 Reorder the terms: 5[-2 + t] + -3[4 + -2t] = 0 [-2 * 5 + t * 5] + -3[4 + -2t] = 0 [-10 + 5t] + -3[4 + -2t] = 0 -10 + 5t + [4 * -3 + -2t * -3] = 0 -10 + 5t + [-12 + 6t] = 0 Reorder the terms: -10 + -12 + 5t + 6t = 0 Combine like terms: -10 + -12 = -22 -22 + 5t + 6t = 0 Combine like terms: 5t + 6t = 11t -22 + 11t = 0 Solving -22 + 11t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 11t = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 11t = 0 + 22 11t = 0 + 22 Combine like terms: 0 + 22 = 22 11t = 22 Divide each side by '11'. t = 2 Simplifying t = 2
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