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Simplifying -5(t + -5) + -6(-4t + -2) = 18(t + 3) + -2 Reorder the terms: -5(-5 + t) + -6(-4t + -2) = 18(t + 3) + -2 (-5 * -5 + t * -5) + -6(-4t + -2) = 18(t + 3) + -2 (25 + -5t) + -6(-4t + -2) = 18(t + 3) + -2 Reorder the terms: 25 + -5t + -6(-2 + -4t) = 18(t + 3) + -2 25 + -5t + (-2 * -6 + -4t * -6) = 18(t + 3) + -2 25 + -5t + (12 + 24t) = 18(t + 3) + -2 Reorder the terms: 25 + 12 + -5t + 24t = 18(t + 3) + -2 Combine like terms: 25 + 12 = 37 37 + -5t + 24t = 18(t + 3) + -2 Combine like terms: -5t + 24t = 19t 37 + 19t = 18(t + 3) + -2 Reorder the terms: 37 + 19t = 18(3 + t) + -2 37 + 19t = (3 * 18 + t * 18) + -2 37 + 19t = (54 + 18t) + -2 Reorder the terms: 37 + 19t = 54 + -2 + 18t Combine like terms: 54 + -2 = 52 37 + 19t = 52 + 18t Solving 37 + 19t = 52 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. 37 + 19t + -18t = 52 + 18t + -18t Combine like terms: 19t + -18t = 1t 37 + 1t = 52 + 18t + -18t Combine like terms: 18t + -18t = 0 37 + 1t = 52 + 0 37 + 1t = 52 Add '-37' to each side of the equation. 37 + -37 + 1t = 52 + -37 Combine like terms: 37 + -37 = 0 0 + 1t = 52 + -37 1t = 52 + -37 Combine like terms: 52 + -37 = 15 1t = 15 Divide each side by '1'. t = 15 Simplifying t = 15
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