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Simplifying -5(z + 1) + 4(3z + -5) = 6(x + -5) + 10 Reorder the terms: -5(1 + z) + 4(3z + -5) = 6(x + -5) + 10 (1 * -5 + z * -5) + 4(3z + -5) = 6(x + -5) + 10 (-5 + -5z) + 4(3z + -5) = 6(x + -5) + 10 Reorder the terms: -5 + -5z + 4(-5 + 3z) = 6(x + -5) + 10 -5 + -5z + (-5 * 4 + 3z * 4) = 6(x + -5) + 10 -5 + -5z + (-20 + 12z) = 6(x + -5) + 10 Reorder the terms: -5 + -20 + -5z + 12z = 6(x + -5) + 10 Combine like terms: -5 + -20 = -25 -25 + -5z + 12z = 6(x + -5) + 10 Combine like terms: -5z + 12z = 7z -25 + 7z = 6(x + -5) + 10 Reorder the terms: -25 + 7z = 6(-5 + x) + 10 -25 + 7z = (-5 * 6 + x * 6) + 10 -25 + 7z = (-30 + 6x) + 10 Reorder the terms: -25 + 7z = -30 + 10 + 6x Combine like terms: -30 + 10 = -20 -25 + 7z = -20 + 6x Solving -25 + 7z = -20 + 6x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 7z = -20 + 25 + 6x Combine like terms: -25 + 25 = 0 0 + 7z = -20 + 25 + 6x 7z = -20 + 25 + 6x Combine like terms: -20 + 25 = 5 7z = 5 + 6x Divide each side by '7'. z = 0.7142857143 + 0.8571428571x Simplifying z = 0.7142857143 + 0.8571428571x
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