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Simplifying -7(14z + 1) = 8(-12 + 14) + 5z Reorder the terms: -7(1 + 14z) = 8(-12 + 14) + 5z (1 * -7 + 14z * -7) = 8(-12 + 14) + 5z (-7 + -98z) = 8(-12 + 14) + 5z Combine like terms: -12 + 14 = 2 -7 + -98z = 8(2) + 5z Multiply 8 * 2 -7 + -98z = 16 + 5z Solving -7 + -98z = 16 + 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. -7 + -98z + -5z = 16 + 5z + -5z Combine like terms: -98z + -5z = -103z -7 + -103z = 16 + 5z + -5z Combine like terms: 5z + -5z = 0 -7 + -103z = 16 + 0 -7 + -103z = 16 Add '7' to each side of the equation. -7 + 7 + -103z = 16 + 7 Combine like terms: -7 + 7 = 0 0 + -103z = 16 + 7 -103z = 16 + 7 Combine like terms: 16 + 7 = 23 -103z = 23 Divide each side by '-103'. z = -0.2233009709 Simplifying z = -0.2233009709
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