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Simplifying 2(3z + -4) + 1 = 3(z + 1) Reorder the terms: 2(-4 + 3z) + 1 = 3(z + 1) (-4 * 2 + 3z * 2) + 1 = 3(z + 1) (-8 + 6z) + 1 = 3(z + 1) Reorder the terms: -8 + 1 + 6z = 3(z + 1) Combine like terms: -8 + 1 = -7 -7 + 6z = 3(z + 1) Reorder the terms: -7 + 6z = 3(1 + z) -7 + 6z = (1 * 3 + z * 3) -7 + 6z = (3 + 3z) Solving -7 + 6z = 3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -7 + 6z + -3z = 3 + 3z + -3z Combine like terms: 6z + -3z = 3z -7 + 3z = 3 + 3z + -3z Combine like terms: 3z + -3z = 0 -7 + 3z = 3 + 0 -7 + 3z = 3 Add '7' to each side of the equation. -7 + 7 + 3z = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 3z = 3 + 7 3z = 3 + 7 Combine like terms: 3 + 7 = 10 3z = 10 Divide each side by '3'. z = 3.333333333 Simplifying z = 3.333333333
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