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Simplifying 67(z + -10) = z + 47 Reorder the terms: 67(-10 + z) = z + 47 (-10 * 67 + z * 67) = z + 47 (-670 + 67z) = z + 47 Reorder the terms: -670 + 67z = 47 + z Solving -670 + 67z = 47 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -670 + 67z + -1z = 47 + z + -1z Combine like terms: 67z + -1z = 66z -670 + 66z = 47 + z + -1z Combine like terms: z + -1z = 0 -670 + 66z = 47 + 0 -670 + 66z = 47 Add '670' to each side of the equation. -670 + 670 + 66z = 47 + 670 Combine like terms: -670 + 670 = 0 0 + 66z = 47 + 670 66z = 47 + 670 Combine like terms: 47 + 670 = 717 66z = 717 Divide each side by '66'. z = 10.86363636 Simplifying z = 10.86363636
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