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Simplifying 4z + -9 + 2(z + -6) = 5z + -7 Reorder the terms: 4z + -9 + 2(-6 + z) = 5z + -7 4z + -9 + (-6 * 2 + z * 2) = 5z + -7 4z + -9 + (-12 + 2z) = 5z + -7 Reorder the terms: -9 + -12 + 4z + 2z = 5z + -7 Combine like terms: -9 + -12 = -21 -21 + 4z + 2z = 5z + -7 Combine like terms: 4z + 2z = 6z -21 + 6z = 5z + -7 Reorder the terms: -21 + 6z = -7 + 5z Solving -21 + 6z = -7 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -21 + 6z + -5z = -7 + 5z + -5z Combine like terms: 6z + -5z = 1z -21 + 1z = -7 + 5z + -5z Combine like terms: 5z + -5z = 0 -21 + 1z = -7 + 0 -21 + 1z = -7 Add '21' to each side of the equation. -21 + 21 + 1z = -7 + 21 Combine like terms: -21 + 21 = 0 0 + 1z = -7 + 21 1z = -7 + 21 Combine like terms: -7 + 21 = 14 1z = 14 Divide each side by '1'. z = 14 Simplifying z = 14
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