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Simplifying -82.5(16.5 + 3t) = 2.2(0.19 + -1t) (16.5 * -82.5 + 3t * -82.5) = 2.2(0.19 + -1t) (-1361.25 + -247.5t) = 2.2(0.19 + -1t) -1361.25 + -247.5t = (0.19 * 2.2 + -1t * 2.2) -1361.25 + -247.5t = (0.418 + -2.2t) Solving -1361.25 + -247.5t = 0.418 + -2.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.2t' to each side of the equation. -1361.25 + -247.5t + 2.2t = 0.418 + -2.2t + 2.2t Combine like terms: -247.5t + 2.2t = -245.3t -1361.25 + -245.3t = 0.418 + -2.2t + 2.2t Combine like terms: -2.2t + 2.2t = 0.0 -1361.25 + -245.3t = 0.418 + 0.0 -1361.25 + -245.3t = 0.418 Add '1361.25' to each side of the equation. -1361.25 + 1361.25 + -245.3t = 0.418 + 1361.25 Combine like terms: -1361.25 + 1361.25 = 0.00 0.00 + -245.3t = 0.418 + 1361.25 -245.3t = 0.418 + 1361.25 Combine like terms: 0.418 + 1361.25 = 1361.668 -245.3t = 1361.668 Divide each side by '-245.3'. t = -5.55103139 Simplifying t = -5.55103139
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