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Simplifying 10(z + -6) + -2 = 6(z + 3) Reorder the terms: 10(-6 + z) + -2 = 6(z + 3) (-6 * 10 + z * 10) + -2 = 6(z + 3) (-60 + 10z) + -2 = 6(z + 3) Reorder the terms: -60 + -2 + 10z = 6(z + 3) Combine like terms: -60 + -2 = -62 -62 + 10z = 6(z + 3) Reorder the terms: -62 + 10z = 6(3 + z) -62 + 10z = (3 * 6 + z * 6) -62 + 10z = (18 + 6z) Solving -62 + 10z = 18 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -62 + 10z + -6z = 18 + 6z + -6z Combine like terms: 10z + -6z = 4z -62 + 4z = 18 + 6z + -6z Combine like terms: 6z + -6z = 0 -62 + 4z = 18 + 0 -62 + 4z = 18 Add '62' to each side of the equation. -62 + 62 + 4z = 18 + 62 Combine like terms: -62 + 62 = 0 0 + 4z = 18 + 62 4z = 18 + 62 Combine like terms: 18 + 62 = 80 4z = 80 Divide each side by '4'. z = 20 Simplifying z = 20
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