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Simplifying -2(3 + -2) + 4t = 5t + -6 Combine like terms: 3 + -2 = 1 -2(1) + 4t = 5t + -6 Multiply -2 * 1 -2 + 4t = 5t + -6 Reorder the terms: -2 + 4t = -6 + 5t Solving -2 + 4t = -6 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -2 + 4t + -5t = -6 + 5t + -5t Combine like terms: 4t + -5t = -1t -2 + -1t = -6 + 5t + -5t Combine like terms: 5t + -5t = 0 -2 + -1t = -6 + 0 -2 + -1t = -6 Add '2' to each side of the equation. -2 + 2 + -1t = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -1t = -6 + 2 -1t = -6 + 2 Combine like terms: -6 + 2 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4
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