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Simplifying 5(z + -8) = 4(z + -7) Reorder the terms: 5(-8 + z) = 4(z + -7) (-8 * 5 + z * 5) = 4(z + -7) (-40 + 5z) = 4(z + -7) Reorder the terms: -40 + 5z = 4(-7 + z) -40 + 5z = (-7 * 4 + z * 4) -40 + 5z = (-28 + 4z) Solving -40 + 5z = -28 + 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. -40 + 5z + -4z = -28 + 4z + -4z Combine like terms: 5z + -4z = 1z -40 + 1z = -28 + 4z + -4z Combine like terms: 4z + -4z = 0 -40 + 1z = -28 + 0 -40 + 1z = -28 Add '40' to each side of the equation. -40 + 40 + 1z = -28 + 40 Combine like terms: -40 + 40 = 0 0 + 1z = -28 + 40 1z = -28 + 40 Combine like terms: -28 + 40 = 12 1z = 12 Divide each side by '1'. z = 12 Simplifying z = 12
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