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Simplifying -8(z + 8) + -1(-4z + -3) = -5z Reorder the terms: -8(8 + z) + -1(-4z + -3) = -5z (8 * -8 + z * -8) + -1(-4z + -3) = -5z (-64 + -8z) + -1(-4z + -3) = -5z Reorder the terms: -64 + -8z + -1(-3 + -4z) = -5z -64 + -8z + (-3 * -1 + -4z * -1) = -5z -64 + -8z + (3 + 4z) = -5z Reorder the terms: -64 + 3 + -8z + 4z = -5z Combine like terms: -64 + 3 = -61 -61 + -8z + 4z = -5z Combine like terms: -8z + 4z = -4z -61 + -4z = -5z Solving -61 + -4z = -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. -61 + -4z + 5z = -5z + 5z Combine like terms: -4z + 5z = 1z -61 + 1z = -5z + 5z Combine like terms: -5z + 5z = 0 -61 + 1z = 0 Add '61' to each side of the equation. -61 + 61 + 1z = 0 + 61 Combine like terms: -61 + 61 = 0 0 + 1z = 0 + 61 1z = 0 + 61 Combine like terms: 0 + 61 = 61 1z = 61 Divide each side by '1'. z = 61 Simplifying z = 61
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