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Simplifying 3(t + 18) = -15(2 + -1t) Reorder the terms: 3(18 + t) = -15(2 + -1t) (18 * 3 + t * 3) = -15(2 + -1t) (54 + 3t) = -15(2 + -1t) 54 + 3t = (2 * -15 + -1t * -15) 54 + 3t = (-30 + 15t) Solving 54 + 3t = -30 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. 54 + 3t + -15t = -30 + 15t + -15t Combine like terms: 3t + -15t = -12t 54 + -12t = -30 + 15t + -15t Combine like terms: 15t + -15t = 0 54 + -12t = -30 + 0 54 + -12t = -30 Add '-54' to each side of the equation. 54 + -54 + -12t = -30 + -54 Combine like terms: 54 + -54 = 0 0 + -12t = -30 + -54 -12t = -30 + -54 Combine like terms: -30 + -54 = -84 -12t = -84 Divide each side by '-12'. t = 7 Simplifying t = 7
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