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Simplifying 8z + -10 = 6 + 111(z + 4) Reorder the terms: -10 + 8z = 6 + 111(z + 4) Reorder the terms: -10 + 8z = 6 + 111(4 + z) -10 + 8z = 6 + (4 * 111 + z * 111) -10 + 8z = 6 + (444 + 111z) Combine like terms: 6 + 444 = 450 -10 + 8z = 450 + 111z Solving -10 + 8z = 450 + 111z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-111z' to each side of the equation. -10 + 8z + -111z = 450 + 111z + -111z Combine like terms: 8z + -111z = -103z -10 + -103z = 450 + 111z + -111z Combine like terms: 111z + -111z = 0 -10 + -103z = 450 + 0 -10 + -103z = 450 Add '10' to each side of the equation. -10 + 10 + -103z = 450 + 10 Combine like terms: -10 + 10 = 0 0 + -103z = 450 + 10 -103z = 450 + 10 Combine like terms: 450 + 10 = 460 -103z = 460 Divide each side by '-103'. z = -4.466019417 Simplifying z = -4.466019417
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