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Simplifying 4(2z + -3) = 7(x + 5) Reorder the terms: 4(-3 + 2z) = 7(x + 5) (-3 * 4 + 2z * 4) = 7(x + 5) (-12 + 8z) = 7(x + 5) Reorder the terms: -12 + 8z = 7(5 + x) -12 + 8z = (5 * 7 + x * 7) -12 + 8z = (35 + 7x) Solving -12 + 8z = 35 + 7x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8z = 35 + 12 + 7x Combine like terms: -12 + 12 = 0 0 + 8z = 35 + 12 + 7x 8z = 35 + 12 + 7x Combine like terms: 35 + 12 = 47 8z = 47 + 7x Divide each side by '8'. z = 5.875 + 0.875x Simplifying z = 5.875 + 0.875x
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