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Simplifying -1(5 + -1t) = 45t + 5(14 + -3t) (5 * -1 + -1t * -1) = 45t + 5(14 + -3t) (-5 + 1t) = 45t + 5(14 + -3t) -5 + 1t = 45t + (14 * 5 + -3t * 5) -5 + 1t = 45t + (70 + -15t) Reorder the terms: -5 + 1t = 70 + 45t + -15t Combine like terms: 45t + -15t = 30t -5 + 1t = 70 + 30t Solving -5 + 1t = 70 + 30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30t' to each side of the equation. -5 + 1t + -30t = 70 + 30t + -30t Combine like terms: 1t + -30t = -29t -5 + -29t = 70 + 30t + -30t Combine like terms: 30t + -30t = 0 -5 + -29t = 70 + 0 -5 + -29t = 70 Add '5' to each side of the equation. -5 + 5 + -29t = 70 + 5 Combine like terms: -5 + 5 = 0 0 + -29t = 70 + 5 -29t = 70 + 5 Combine like terms: 70 + 5 = 75 -29t = 75 Divide each side by '-29'. t = -2.586206897 Simplifying t = -2.586206897
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