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Simplifying -1 + (2t + 3) + 2(t + -3) = 0 Reorder the terms: -1 + (3 + 2t) + 2(t + -3) = 0 Remove parenthesis around (3 + 2t) -1 + 3 + 2t + 2(t + -3) = 0 Reorder the terms: -1 + 3 + 2t + 2(-3 + t) = 0 -1 + 3 + 2t + (-3 * 2 + t * 2) = 0 -1 + 3 + 2t + (-6 + 2t) = 0 Reorder the terms: -1 + 3 + -6 + 2t + 2t = 0 Combine like terms: -1 + 3 = 2 2 + -6 + 2t + 2t = 0 Combine like terms: 2 + -6 = -4 -4 + 2t + 2t = 0 Combine like terms: 2t + 2t = 4t -4 + 4t = 0 Solving -4 + 4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4t = 0 + 4 4t = 0 + 4 Combine like terms: 0 + 4 = 4 4t = 4 Divide each side by '4'. t = 1 Simplifying t = 1
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