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Simplifying 46z + -53 + -1(57 + 37z) = 0 46z + -53 + (57 * -1 + 37z * -1) = 0 46z + -53 + (-57 + -37z) = 0 Reorder the terms: -53 + -57 + 46z + -37z = 0 Combine like terms: -53 + -57 = -110 -110 + 46z + -37z = 0 Combine like terms: 46z + -37z = 9z -110 + 9z = 0 Solving -110 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '110' to each side of the equation. -110 + 110 + 9z = 0 + 110 Combine like terms: -110 + 110 = 0 0 + 9z = 0 + 110 9z = 0 + 110 Combine like terms: 0 + 110 = 110 9z = 110 Divide each side by '9'. z = 12.22222222 Simplifying z = 12.22222222
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