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Simplifying 6(3z + -7) + 4(9 + z) = 170 Reorder the terms: 6(-7 + 3z) + 4(9 + z) = 170 (-7 * 6 + 3z * 6) + 4(9 + z) = 170 (-42 + 18z) + 4(9 + z) = 170 -42 + 18z + (9 * 4 + z * 4) = 170 -42 + 18z + (36 + 4z) = 170 Reorder the terms: -42 + 36 + 18z + 4z = 170 Combine like terms: -42 + 36 = -6 -6 + 18z + 4z = 170 Combine like terms: 18z + 4z = 22z -6 + 22z = 170 Solving -6 + 22z = 170 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 22z = 170 + 6 Combine like terms: -6 + 6 = 0 0 + 22z = 170 + 6 22z = 170 + 6 Combine like terms: 170 + 6 = 176 22z = 176 Divide each side by '22'. z = 8 Simplifying z = 8
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