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Simplifying -4(3 + -5t) = -15.5 + 19t (3 * -4 + -5t * -4) = -15.5 + 19t (-12 + 20t) = -15.5 + 19t Solving -12 + 20t = -15.5 + 19t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19t' to each side of the equation. -12 + 20t + -19t = -15.5 + 19t + -19t Combine like terms: 20t + -19t = 1t -12 + 1t = -15.5 + 19t + -19t Combine like terms: 19t + -19t = 0 -12 + 1t = -15.5 + 0 -12 + 1t = -15.5 Add '12' to each side of the equation. -12 + 12 + 1t = -15.5 + 12 Combine like terms: -12 + 12 = 0 0 + 1t = -15.5 + 12 1t = -15.5 + 12 Combine like terms: -15.5 + 12 = -3.5 1t = -3.5 Divide each side by '1'. t = -3.5 Simplifying t = -3.5
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