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Simplifying 2(t + -2) + 5t = 6t + -41 Reorder the terms: 2(-2 + t) + 5t = 6t + -41 (-2 * 2 + t * 2) + 5t = 6t + -41 (-4 + 2t) + 5t = 6t + -41 Combine like terms: 2t + 5t = 7t -4 + 7t = 6t + -41 Reorder the terms: -4 + 7t = -41 + 6t Solving -4 + 7t = -41 + 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 + 7t + -6t = -41 + 6t + -6t Combine like terms: 7t + -6t = 1t -4 + 1t = -41 + 6t + -6t Combine like terms: 6t + -6t = 0 -4 + 1t = -41 + 0 -4 + 1t = -41 Add '4' to each side of the equation. -4 + 4 + 1t = -41 + 4 Combine like terms: -4 + 4 = 0 0 + 1t = -41 + 4 1t = -41 + 4 Combine like terms: -41 + 4 = -37 1t = -37 Divide each side by '1'. t = -37 Simplifying t = -37
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