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Simplifying 6(z + -5) = 2(z + 1) Reorder the terms: 6(-5 + z) = 2(z + 1) (-5 * 6 + z * 6) = 2(z + 1) (-30 + 6z) = 2(z + 1) Reorder the terms: -30 + 6z = 2(1 + z) -30 + 6z = (1 * 2 + z * 2) -30 + 6z = (2 + 2z) Solving -30 + 6z = 2 + 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. -30 + 6z + -2z = 2 + 2z + -2z Combine like terms: 6z + -2z = 4z -30 + 4z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -30 + 4z = 2 + 0 -30 + 4z = 2 Add '30' to each side of the equation. -30 + 30 + 4z = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 4z = 2 + 30 4z = 2 + 30 Combine like terms: 2 + 30 = 32 4z = 32 Divide each side by '4'. z = 8 Simplifying z = 8
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