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Simplifying -4(z + 4) + 10 = 7z + 38 Reorder the terms: -4(4 + z) + 10 = 7z + 38 (4 * -4 + z * -4) + 10 = 7z + 38 (-16 + -4z) + 10 = 7z + 38 Reorder the terms: -16 + 10 + -4z = 7z + 38 Combine like terms: -16 + 10 = -6 -6 + -4z = 7z + 38 Reorder the terms: -6 + -4z = 38 + 7z Solving -6 + -4z = 38 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -6 + -4z + -7z = 38 + 7z + -7z Combine like terms: -4z + -7z = -11z -6 + -11z = 38 + 7z + -7z Combine like terms: 7z + -7z = 0 -6 + -11z = 38 + 0 -6 + -11z = 38 Add '6' to each side of the equation. -6 + 6 + -11z = 38 + 6 Combine like terms: -6 + 6 = 0 0 + -11z = 38 + 6 -11z = 38 + 6 Combine like terms: 38 + 6 = 44 -11z = 44 Divide each side by '-11'. z = -4 Simplifying z = -4
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