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Simplifying 7(5z + -3) = 4(10z + -9) Reorder the terms: 7(-3 + 5z) = 4(10z + -9) (-3 * 7 + 5z * 7) = 4(10z + -9) (-21 + 35z) = 4(10z + -9) Reorder the terms: -21 + 35z = 4(-9 + 10z) -21 + 35z = (-9 * 4 + 10z * 4) -21 + 35z = (-36 + 40z) Solving -21 + 35z = -36 + 40z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-40z' to each side of the equation. -21 + 35z + -40z = -36 + 40z + -40z Combine like terms: 35z + -40z = -5z -21 + -5z = -36 + 40z + -40z Combine like terms: 40z + -40z = 0 -21 + -5z = -36 + 0 -21 + -5z = -36 Add '21' to each side of the equation. -21 + 21 + -5z = -36 + 21 Combine like terms: -21 + 21 = 0 0 + -5z = -36 + 21 -5z = -36 + 21 Combine like terms: -36 + 21 = -15 -5z = -15 Divide each side by '-5'. z = 3 Simplifying z = 3
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