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Simplifying -3(5 + -11t) + -19t + 33 = -3 + 10t + -7 (5 * -3 + -11t * -3) + -19t + 33 = -3 + 10t + -7 (-15 + 33t) + -19t + 33 = -3 + 10t + -7 Reorder the terms: -15 + 33 + 33t + -19t = -3 + 10t + -7 Combine like terms: -15 + 33 = 18 18 + 33t + -19t = -3 + 10t + -7 Combine like terms: 33t + -19t = 14t 18 + 14t = -3 + 10t + -7 Reorder the terms: 18 + 14t = -3 + -7 + 10t Combine like terms: -3 + -7 = -10 18 + 14t = -10 + 10t Solving 18 + 14t = -10 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 18 + 14t + -10t = -10 + 10t + -10t Combine like terms: 14t + -10t = 4t 18 + 4t = -10 + 10t + -10t Combine like terms: 10t + -10t = 0 18 + 4t = -10 + 0 18 + 4t = -10 Add '-18' to each side of the equation. 18 + -18 + 4t = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 4t = -10 + -18 4t = -10 + -18 Combine like terms: -10 + -18 = -28 4t = -28 Divide each side by '4'. t = -7 Simplifying t = -7
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