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Simplifying 8(z + -5) + -1(4z + -1) = -3 Reorder the terms: 8(-5 + z) + -1(4z + -1) = -3 (-5 * 8 + z * 8) + -1(4z + -1) = -3 (-40 + 8z) + -1(4z + -1) = -3 Reorder the terms: -40 + 8z + -1(-1 + 4z) = -3 -40 + 8z + (-1 * -1 + 4z * -1) = -3 -40 + 8z + (1 + -4z) = -3 Reorder the terms: -40 + 1 + 8z + -4z = -3 Combine like terms: -40 + 1 = -39 -39 + 8z + -4z = -3 Combine like terms: 8z + -4z = 4z -39 + 4z = -3 Solving -39 + 4z = -3 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 4z = -3 + 39 Combine like terms: -39 + 39 = 0 0 + 4z = -3 + 39 4z = -3 + 39 Combine like terms: -3 + 39 = 36 4z = 36 Divide each side by '4'. z = 9 Simplifying z = 9
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