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Simplifying 5(-4z + -3) = 7(6 + -3z) Reorder the terms: 5(-3 + -4z) = 7(6 + -3z) (-3 * 5 + -4z * 5) = 7(6 + -3z) (-15 + -20z) = 7(6 + -3z) -15 + -20z = (6 * 7 + -3z * 7) -15 + -20z = (42 + -21z) Solving -15 + -20z = 42 + -21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21z' to each side of the equation. -15 + -20z + 21z = 42 + -21z + 21z Combine like terms: -20z + 21z = 1z -15 + 1z = 42 + -21z + 21z Combine like terms: -21z + 21z = 0 -15 + 1z = 42 + 0 -15 + 1z = 42 Add '15' to each side of the equation. -15 + 15 + 1z = 42 + 15 Combine like terms: -15 + 15 = 0 0 + 1z = 42 + 15 1z = 42 + 15 Combine like terms: 42 + 15 = 57 1z = 57 Divide each side by '1'. z = 57 Simplifying z = 57
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