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Simplifying -3(5t + -12) = 4t + -21 Reorder the terms: -3(-12 + 5t) = 4t + -21 (-12 * -3 + 5t * -3) = 4t + -21 (36 + -15t) = 4t + -21 Reorder the terms: 36 + -15t = -21 + 4t Solving 36 + -15t = -21 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 36 + -15t + -4t = -21 + 4t + -4t Combine like terms: -15t + -4t = -19t 36 + -19t = -21 + 4t + -4t Combine like terms: 4t + -4t = 0 36 + -19t = -21 + 0 36 + -19t = -21 Add '-36' to each side of the equation. 36 + -36 + -19t = -21 + -36 Combine like terms: 36 + -36 = 0 0 + -19t = -21 + -36 -19t = -21 + -36 Combine like terms: -21 + -36 = -57 -19t = -57 Divide each side by '-19'. t = 3 Simplifying t = 3
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