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Simplifying 3(2z + -7) + 4 = 4(z + -1) Reorder the terms: 3(-7 + 2z) + 4 = 4(z + -1) (-7 * 3 + 2z * 3) + 4 = 4(z + -1) (-21 + 6z) + 4 = 4(z + -1) Reorder the terms: -21 + 4 + 6z = 4(z + -1) Combine like terms: -21 + 4 = -17 -17 + 6z = 4(z + -1) Reorder the terms: -17 + 6z = 4(-1 + z) -17 + 6z = (-1 * 4 + z * 4) -17 + 6z = (-4 + 4z) Solving -17 + 6z = -4 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -17 + 6z + -4z = -4 + 4z + -4z Combine like terms: 6z + -4z = 2z -17 + 2z = -4 + 4z + -4z Combine like terms: 4z + -4z = 0 -17 + 2z = -4 + 0 -17 + 2z = -4 Add '17' to each side of the equation. -17 + 17 + 2z = -4 + 17 Combine like terms: -17 + 17 = 0 0 + 2z = -4 + 17 2z = -4 + 17 Combine like terms: -4 + 17 = 13 2z = 13 Divide each side by '2'. z = 6.5 Simplifying z = 6.5
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