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Simplifying 3(2z + -7) + 4 = z + -6 Reorder the terms: 3(-7 + 2z) + 4 = z + -6 (-7 * 3 + 2z * 3) + 4 = z + -6 (-21 + 6z) + 4 = z + -6 Reorder the terms: -21 + 4 + 6z = z + -6 Combine like terms: -21 + 4 = -17 -17 + 6z = z + -6 Reorder the terms: -17 + 6z = -6 + z Solving -17 + 6z = -6 + 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. -17 + 6z + -1z = -6 + z + -1z Combine like terms: 6z + -1z = 5z -17 + 5z = -6 + z + -1z Combine like terms: z + -1z = 0 -17 + 5z = -6 + 0 -17 + 5z = -6 Add '17' to each side of the equation. -17 + 17 + 5z = -6 + 17 Combine like terms: -17 + 17 = 0 0 + 5z = -6 + 17 5z = -6 + 17 Combine like terms: -6 + 17 = 11 5z = 11 Divide each side by '5'. z = 2.2 Simplifying z = 2.2
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