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Simplifying 6z + 10 = 2(4z + -7) Reorder the terms: 10 + 6z = 2(4z + -7) Reorder the terms: 10 + 6z = 2(-7 + 4z) 10 + 6z = (-7 * 2 + 4z * 2) 10 + 6z = (-14 + 8z) Solving 10 + 6z = -14 + 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. 10 + 6z + -8z = -14 + 8z + -8z Combine like terms: 6z + -8z = -2z 10 + -2z = -14 + 8z + -8z Combine like terms: 8z + -8z = 0 10 + -2z = -14 + 0 10 + -2z = -14 Add '-10' to each side of the equation. 10 + -10 + -2z = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -2z = -14 + -10 -2z = -14 + -10 Combine like terms: -14 + -10 = -24 -2z = -24 Divide each side by '-2'. z = 12 Simplifying z = 12
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