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Simplifying t + -0.3t + -0.6 = 0.2(t + -0.22) Reorder the terms: -0.6 + t + -0.3t = 0.2(t + -0.22) Combine like terms: t + -0.3t = 0.7t -0.6 + 0.7t = 0.2(t + -0.22) Reorder the terms: -0.6 + 0.7t = 0.2(-0.22 + t) -0.6 + 0.7t = (-0.22 * 0.2 + t * 0.2) -0.6 + 0.7t = (-0.044 + 0.2t) Solving -0.6 + 0.7t = -0.044 + 0.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.2t' to each side of the equation. -0.6 + 0.7t + -0.2t = -0.044 + 0.2t + -0.2t Combine like terms: 0.7t + -0.2t = 0.5t -0.6 + 0.5t = -0.044 + 0.2t + -0.2t Combine like terms: 0.2t + -0.2t = 0.0 -0.6 + 0.5t = -0.044 + 0.0 -0.6 + 0.5t = -0.044 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.5t = -0.044 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.5t = -0.044 + 0.6 0.5t = -0.044 + 0.6 Combine like terms: -0.044 + 0.6 = 0.556 0.5t = 0.556 Divide each side by '0.5'. t = 1.112 Simplifying t = 1.112
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