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Simplifying 7(z + -5) + 4z + -2 = 0 Reorder the terms: 7(-5 + z) + 4z + -2 = 0 (-5 * 7 + z * 7) + 4z + -2 = 0 (-35 + 7z) + 4z + -2 = 0 Reorder the terms: -35 + -2 + 7z + 4z = 0 Combine like terms: -35 + -2 = -37 -37 + 7z + 4z = 0 Combine like terms: 7z + 4z = 11z -37 + 11z = 0 Solving -37 + 11z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 11z = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 11z = 0 + 37 11z = 0 + 37 Combine like terms: 0 + 37 = 37 11z = 37 Divide each side by '11'. z = 3.363636364 Simplifying z = 3.363636364
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