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Simplifying -16.55 + -12t + -19.6t = 19.5t + 9(-8.3t + -19.67) Combine like terms: -12t + -19.6t = -31.6t -16.55 + -31.6t = 19.5t + 9(-8.3t + -19.67) Reorder the terms: -16.55 + -31.6t = 19.5t + 9(-19.67 + -8.3t) -16.55 + -31.6t = 19.5t + (-19.67 * 9 + -8.3t * 9) -16.55 + -31.6t = 19.5t + (-177.03 + -74.7t) Reorder the terms: -16.55 + -31.6t = -177.03 + 19.5t + -74.7t Combine like terms: 19.5t + -74.7t = -55.2t -16.55 + -31.6t = -177.03 + -55.2t Solving -16.55 + -31.6t = -177.03 + -55.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '55.2t' to each side of the equation. -16.55 + -31.6t + 55.2t = -177.03 + -55.2t + 55.2t Combine like terms: -31.6t + 55.2t = 23.6t -16.55 + 23.6t = -177.03 + -55.2t + 55.2t Combine like terms: -55.2t + 55.2t = 0.0 -16.55 + 23.6t = -177.03 + 0.0 -16.55 + 23.6t = -177.03 Add '16.55' to each side of the equation. -16.55 + 16.55 + 23.6t = -177.03 + 16.55 Combine like terms: -16.55 + 16.55 = 0.00 0.00 + 23.6t = -177.03 + 16.55 23.6t = -177.03 + 16.55 Combine like terms: -177.03 + 16.55 = -160.48 23.6t = -160.48 Divide each side by '23.6'. t = -6.8 Simplifying t = -6.8
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