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Simplifying 10 = 4(z + -8) + -6 Reorder the terms: 10 = 4(-8 + z) + -6 10 = (-8 * 4 + z * 4) + -6 10 = (-32 + 4z) + -6 Reorder the terms: 10 = -32 + -6 + 4z Combine like terms: -32 + -6 = -38 10 = -38 + 4z Solving 10 = -38 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 10 + -4z = -38 + 4z + -4z Combine like terms: 4z + -4z = 0 10 + -4z = -38 + 0 10 + -4z = -38 Add '-10' to each side of the equation. 10 + -10 + -4z = -38 + -10 Combine like terms: 10 + -10 = 0 0 + -4z = -38 + -10 -4z = -38 + -10 Combine like terms: -38 + -10 = -48 -4z = -48 Divide each side by '-4'. z = 12 Simplifying z = 12
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