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Simplifying 2(t + -2) + 4t = 9t + -4 Reorder the terms: 2(-2 + t) + 4t = 9t + -4 (-2 * 2 + t * 2) + 4t = 9t + -4 (-4 + 2t) + 4t = 9t + -4 Combine like terms: 2t + 4t = 6t -4 + 6t = 9t + -4 Reorder the terms: -4 + 6t = -4 + 9t Add '4' to each side of the equation. -4 + 4 + 6t = -4 + 4 + 9t Combine like terms: -4 + 4 = 0 0 + 6t = -4 + 4 + 9t 6t = -4 + 4 + 9t Combine like terms: -4 + 4 = 0 6t = 0 + 9t 6t = 9t Solving 6t = 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. 6t + -9t = 9t + -9t Combine like terms: 6t + -9t = -3t -3t = 9t + -9t Combine like terms: 9t + -9t = 0 -3t = 0 Divide each side by '-3'. t = 0 Simplifying t = 0
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