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Simplifying 2(z + -6) + 10 = 8(z + -2) Reorder the terms: 2(-6 + z) + 10 = 8(z + -2) (-6 * 2 + z * 2) + 10 = 8(z + -2) (-12 + 2z) + 10 = 8(z + -2) Reorder the terms: -12 + 10 + 2z = 8(z + -2) Combine like terms: -12 + 10 = -2 -2 + 2z = 8(z + -2) Reorder the terms: -2 + 2z = 8(-2 + z) -2 + 2z = (-2 * 8 + z * 8) -2 + 2z = (-16 + 8z) Solving -2 + 2z = -16 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -2 + 2z + -8z = -16 + 8z + -8z Combine like terms: 2z + -8z = -6z -2 + -6z = -16 + 8z + -8z Combine like terms: 8z + -8z = 0 -2 + -6z = -16 + 0 -2 + -6z = -16 Add '2' to each side of the equation. -2 + 2 + -6z = -16 + 2 Combine like terms: -2 + 2 = 0 0 + -6z = -16 + 2 -6z = -16 + 2 Combine like terms: -16 + 2 = -14 -6z = -14 Divide each side by '-6'. z = 2.333333333 Simplifying z = 2.333333333
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