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Simplifying 4z + -6 = 6[z + 2] + 8 Reorder the terms: -6 + 4z = 6[z + 2] + 8 Reorder the terms: -6 + 4z = 6[2 + z] + 8 -6 + 4z = [2 * 6 + z * 6] + 8 -6 + 4z = [12 + 6z] + 8 Reorder the terms: -6 + 4z = 12 + 8 + 6z Combine like terms: 12 + 8 = 20 -6 + 4z = 20 + 6z Solving -6 + 4z = 20 + 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. -6 + 4z + -6z = 20 + 6z + -6z Combine like terms: 4z + -6z = -2z -6 + -2z = 20 + 6z + -6z Combine like terms: 6z + -6z = 0 -6 + -2z = 20 + 0 -6 + -2z = 20 Add '6' to each side of the equation. -6 + 6 + -2z = 20 + 6 Combine like terms: -6 + 6 = 0 0 + -2z = 20 + 6 -2z = 20 + 6 Combine like terms: 20 + 6 = 26 -2z = 26 Divide each side by '-2'. z = -13 Simplifying z = -13
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