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Simplifying (6z + 3) + -1(z + 4) = 2z + 8 Reorder the terms: (3 + 6z) + -1(z + 4) = 2z + 8 Remove parenthesis around (3 + 6z) 3 + 6z + -1(z + 4) = 2z + 8 Reorder the terms: 3 + 6z + -1(4 + z) = 2z + 8 3 + 6z + (4 * -1 + z * -1) = 2z + 8 3 + 6z + (-4 + -1z) = 2z + 8 Reorder the terms: 3 + -4 + 6z + -1z = 2z + 8 Combine like terms: 3 + -4 = -1 -1 + 6z + -1z = 2z + 8 Combine like terms: 6z + -1z = 5z -1 + 5z = 2z + 8 Reorder the terms: -1 + 5z = 8 + 2z Solving -1 + 5z = 8 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -1 + 5z + -2z = 8 + 2z + -2z Combine like terms: 5z + -2z = 3z -1 + 3z = 8 + 2z + -2z Combine like terms: 2z + -2z = 0 -1 + 3z = 8 + 0 -1 + 3z = 8 Add '1' to each side of the equation. -1 + 1 + 3z = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3z = 8 + 1 3z = 8 + 1 Combine like terms: 8 + 1 = 9 3z = 9 Divide each side by '3'. z = 3 Simplifying z = 3
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