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Simplifying -0.2(tz + 4) + 0.6(1 + -1cd) = 0 Reorder the terms: -0.2(4 + tz) + 0.6(1 + -1cd) = 0 (4 * -0.2 + tz * -0.2) + 0.6(1 + -1cd) = 0 (-0.8 + -0.2tz) + 0.6(1 + -1cd) = 0 -0.8 + -0.2tz + (1 * 0.6 + -1cd * 0.6) = 0 -0.8 + -0.2tz + (0.6 + -0.6cd) = 0 Reorder the terms: -0.8 + 0.6 + -0.6cd + -0.2tz = 0 Combine like terms: -0.8 + 0.6 = -0.2 -0.2 + -0.6cd + -0.2tz = 0 Solving -0.2 + -0.6cd + -0.2tz = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + -0.6cd + 0.2 + -0.2tz = 0 + 0.2 Reorder the terms: -0.2 + 0.2 + -0.6cd + -0.2tz = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -0.6cd + -0.2tz = 0 + 0.2 -0.6cd + -0.2tz = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 -0.6cd + -0.2tz = 0.2 Add '0.2tz' to each side of the equation. -0.6cd + -0.2tz + 0.2tz = 0.2 + 0.2tz Combine like terms: -0.2tz + 0.2tz = 0.0 -0.6cd + 0.0 = 0.2 + 0.2tz -0.6cd = 0.2 + 0.2tz Divide each side by '-0.6d'. c = -0.3333333333d-1 + -0.3333333333d-1tz Simplifying c = -0.3333333333d-1 + -0.3333333333d-1tz
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