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Simplifying 5(t + -6) + 2t = 3t + -2 Reorder the terms: 5(-6 + t) + 2t = 3t + -2 (-6 * 5 + t * 5) + 2t = 3t + -2 (-30 + 5t) + 2t = 3t + -2 Combine like terms: 5t + 2t = 7t -30 + 7t = 3t + -2 Reorder the terms: -30 + 7t = -2 + 3t Solving -30 + 7t = -2 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -30 + 7t + -3t = -2 + 3t + -3t Combine like terms: 7t + -3t = 4t -30 + 4t = -2 + 3t + -3t Combine like terms: 3t + -3t = 0 -30 + 4t = -2 + 0 -30 + 4t = -2 Add '30' to each side of the equation. -30 + 30 + 4t = -2 + 30 Combine like terms: -30 + 30 = 0 0 + 4t = -2 + 30 4t = -2 + 30 Combine like terms: -2 + 30 = 28 4t = 28 Divide each side by '4'. t = 7 Simplifying t = 7
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