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Simplifying -5(16.5 + 3t) = 3(0.9 + -1r) (16.5 * -5 + 3t * -5) = 3(0.9 + -1r) (-82.5 + -15t) = 3(0.9 + -1r) -82.5 + -15t = (0.9 * 3 + -1r * 3) -82.5 + -15t = (2.7 + -3r) Solving -82.5 + -15t = 2.7 + -3r Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '82.5' to each side of the equation. -82.5 + 82.5 + -15t = 2.7 + 82.5 + -3r Combine like terms: -82.5 + 82.5 = 0.0 0.0 + -15t = 2.7 + 82.5 + -3r -15t = 2.7 + 82.5 + -3r Combine like terms: 2.7 + 82.5 = 85.2 -15t = 85.2 + -3r Divide each side by '-15'. t = -5.68 + 0.2r Simplifying t = -5.68 + 0.2r
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