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