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Simplifying z + -6.4z + -1.9 = -4.9(z + 6) Reorder the terms: -1.9 + z + -6.4z = -4.9(z + 6) Combine like terms: z + -6.4z = -5.4z -1.9 + -5.4z = -4.9(z + 6) Reorder the terms: -1.9 + -5.4z = -4.9(6 + z) -1.9 + -5.4z = (6 * -4.9 + z * -4.9) -1.9 + -5.4z = (-29.4 + -4.9z) Solving -1.9 + -5.4z = -29.4 + -4.9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4.9z' to each side of the equation. -1.9 + -5.4z + 4.9z = -29.4 + -4.9z + 4.9z Combine like terms: -5.4z + 4.9z = -0.5z -1.9 + -0.5z = -29.4 + -4.9z + 4.9z Combine like terms: -4.9z + 4.9z = 0.0 -1.9 + -0.5z = -29.4 + 0.0 -1.9 + -0.5z = -29.4 Add '1.9' to each side of the equation. -1.9 + 1.9 + -0.5z = -29.4 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + -0.5z = -29.4 + 1.9 -0.5z = -29.4 + 1.9 Combine like terms: -29.4 + 1.9 = -27.5 -0.5z = -27.5 Divide each side by '-0.5'. z = 55 Simplifying z = 55
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